I agree with Jenny and Andy about the potatoes; this is natural and right that they are dying back, and it is proabably time to harvest.
As far as the sweet potatoes, I say don't worry so much, and give it a go! Your alley cropping idea sounds wonderful. Just be prepared to possibly make adjustments as the season goes along. Sweet potatoes grow like crazy in the right environment. I had a ton of grasshoppers a few weeks ago (before I moved the
chickens into that part of the garden) and yes, they were damaging a lot of leaves, but the sweet potatoes could handle it.
Chickens, btw, can be great companions to potatoes and sweet potatoes, if you have the ability to protect them from predators in that hayfield. They will eat some of the leaves of both the potatoes and sweet potatoes, but they will also eat a lot more bugs than leaves, and do way more good than harm. This is not true for
chickens and fruiting plants like tomatoes, peppers, strawberries, etc, of
course; in those gardens chickens do way more harm than good, by pecking and eating half of every fruit that forms. But with potatoes and sweet potatoes they are excellent friends.
My understanding is that sweet potatoes do need a good bit of water. It really depends how well your soil holds water, whether you can grow them without irrigation. If possible, I would lay out drip hoses when you plant them, and put the mulch over the drip hoses. Then you have the option to irrigate from time to time if needed. As you build the organic matter in the soil, through the methods you already described, you will become less and less dependent on that irrigation over the years. But sometimes, starting from scratch, you have to make compromises to get where you want to go. I would set up the option of irrigating the regular potatoes if possible too, just in case. I think they are a bit more tolerant to dryer conditions, but sometimes it is better to give a good watering from time to time and get a way better yield, than to do without and be disappointed.
The other thing about sweet potatoes is that they make a whole lot of leaves, and it seems to me that they need these leaves to have access to the sun to make those big, sweet, tubers. So just make sure you are not mulching too heavily, too often, and covering too many leaves. If they are happy, they will also send out runners everywhere and try to take over the whole world. But if they grow where you don't want them you can always trim them back and either use them as mulch for their own selves, eat the leaves (not my favorite veggie) or
feed them to animals like cows or goats.
Good luck! It sounds fun!