Hi Gorden,
It sounds like your busy and facing some challenges. For plastic to smother weeds, black is the best. The lack of light chokes them out, and the black color gets hot enough to cook them. The market gardeners I know, use heavy black trucking tarps, or plastic silage tubes, cut open to make a rectangle tarp. The silage tubes are heavy visqueen, that are black on one side, white on the other. This insures no light gets through, but also can be used black side up for heating up the soil, or white to reflect off the heat.
If you follow the strategy I layed out, in the first post, the heavy mulch will reduce the need for most, if not all irrigation. This will be critical for suppressing the weeds, and creating the fertility, to grow a continually good crop. You will also need to figure out what type of potatos will grow best in your area. Definitely look for short season determinate varieties that will finish up in your 89 day frost free window. Do some resurch, and find a good disease resistant variety. Your local agriculture extension should have some recommendations for varieties used in local organic production. That will get you pointed in the right direction. The beds can be built before last frost, and the potatoes planted, as they will be protected under the heavy mulch from damaging frost: they will also put out roots and creep up through the protected layers of the mulch, giving you earlier establishment. This is of course within reason, so a few weeks before last frost start building them.
They don't have commercial potato equipment for
permaculture applications, from my understanding. So my best suggestion is find out the width of your tractor between the inside of your tires. If you can get a tractor with a wide spread thats good. 4 feet would be optimal. The distance between your tires will be your market bed width, and the width of your tires to drive straddled over the rows, will be the pathway width between rows. If your beds are 4 feet wide, plant your rows 2 ft apart, with 1 ft left on each side of the market row bed. This gives you a double row of potatos per market bed. This will allow you to spread your manure, plant your rows of potatos, lay down your wet cardboard, spread the mushroom spawn, layer the hay/straw, and add the woodchips using the tractor, without crushing your seed potatoes. So every 4 ft bed, will have a 1 ft path on each side, before the next 4 ft market bed. You won't need to do any weeding or hilling, just plant and harvest. The extra 1 foot of pathway between double rows, will alow you to walk or drive down the rows with your tractor if you need to spray or treat for pests. Once the potatoes get more mature, they will start to eventually fill in your pathways. Use string lines to help plant straight rows. I would recomend covering you path with at least 8 inches of chips too. The chips will probably spill in your pathways while your building your bed, so it shouldn't be to much trouble to add them there. They will keep the weeds out of the pathways, and help hold in valuable moisture.
Even though you dont consider willow and the others deciduous tree species you mentioned hardwoods, they are a hardwood, meaning use King Stropheria spawn on your cardboard layer. You could make a decent salary on just mushroom sales alone, after they get established, so in case of crop failer on potatoes, you have some income for your labors. With all that acerage your planting, mushroom sales in spring and fall harvests, could cover your time, fuel and seed costs at minimum. After a few years establishing, and with good marketing, King Stropheria mushrooms could be your main crop with all that acerage. So don't miss out on that opportunity, to
profit on your efforts, while that mushroom mycelium is making your land extremely fertile. It really is almost necessary for that symbiosis, to creat low maintenance productivity, fertility, and be highly effective in all your efforts.
You can by mushroom spawn online, or over the phone. I think Fungi Perfection is a reputable company, but check out the competition, and see what works for you. You could set up a small bed, following the directions I layed out this summer, then next late winter, early spring when your making all your planting beds, use the old bed from this summer, as spawn on the cardboard layer for your new beds. It will save you money on spawn for establishing beds. Once the spawn gets established in your beds, it will stay there if you keep adding chips every couple of years.
I would recomend crop rotations if possible, and after you plant potatoes in a bed one year, do various types of summer and or winter squash the next year. This will let the bed rest from potential soil born pests. Once a bed has been established the previous year, all you need is a set up on the back of your tractor at 2 ft spacing, so in spring when your reestablishing a potato bed, it acts like a wedge or small plow, to move all the woodchips off to the side, just disturbing about 3 inches of the compost layer, so you can drop your potatoes on the mushroom compost in the little trenches, with perfect row spacing. Smooth it over with the
bucket, add your new layer of woodchips to keep it at 8 inches, and your back in business for the year. The cardboard, hay/straw, and manure is only really needed the first year to help establish the mycelium, while fertilizing and suppressing established
perennial weeds. Its critical to establishing a bed, but not needed to maintain it, since your not doing high intensity planting, giving your beds the rest of the season to rest, while the mycelium and established biome turn those woodchips into fertility. The manure the first, year helps jump start the soil biome biology, while providing immediate slow release fertility. Once the bed is established, the mycelium will constantly take those hardwood chips, and make mushroom compost, so you won't need much imput beyond adding more wood chips every two years. If a bed gets weedy, or stops producing mushrooms, then do the whole process over.
If you don't have access to hay for bed building, but you have feilds. Maybe someone will hay your feilds, and split the hay with you. Another option is put out an add on Craigslist, that you will haul away old hay or straw. You can also sometimes find people who will give it away, once it gets old. Or see if someone uses straw in their horese stalls, and will give away that straw filled manure. Free manure is also often available on Craigslist, and some places will even offer to load it for free. I would recomend windrow composting, if it needs more aging or pasteurization.
To keep your soil mineralized, many organic farmers will add pure, cheap, no additives, bulk sea salt, at 75 lbs per acre annualy. Personally I would do half that, twice a year in the wet seasons, just because its more gentle on the soil biology.
Those are my best suggestions, I hope it helps.