I've heard several people say that muscovy ducks will get rid of mosquito problems. With all that water they
should be quite happy there! They'll also add fertilizer (our grass never looked as green as when we had ducks and geese pooping everywhere - stayed green right through a drought!) and eat slugs and other nasties.
Do you have any animals yet?
I agree with the others, haying removes fertility.
I've had a lot of people tell me that weeping willows suck the moisture out of the soil, making marshy areas much drier - they also make good livestock fodder. And they're FREE if you can find a weeping willow tree you can get cuttings from - just stick the (pencil-sized) cuttings in the soil (make sure the right end is in the soil - some do it by cutting the bottom at an angle and the top straight across) in early spring before they've started to leaf out and you should have a new tree in no time. Some say they're messy trees, dropping branches and leaves but all that is organic matter that adds fertility to the soil!
What clay soil needs is deep rooted plants to increase life in the soil that feeds off of the sugars
roots release just for that purpose and feeds off the dead roots. Those bacteria, fungi, etc. will fill the soil with threads that open it up and hold air spaces to make it absorb water better, hold nutrients and make air pockets so the plant roots can grow even deeper. The roots only grow as deep as there is "top" sticking out of the ground to support them, so mowing not only cuts the tops off but also makes the roots withdraw back toward the surface instead of pushing ever deeper. If you mow but don't bale, you add mulch to the surface which will break down to
feed soil organisms and be carried further into the soil by worms, so that will increase the fertility some but it will happen in winter without any
gasoline, machinery or effort as well.
If you really are years away from pasturing animals, it could be the perfect time to establish some lines of food forest/windbreaks. Many of those trees can be free as well - plant rows of seeds from apples, peaches, plums, cherries, nectarines, apricots, etc. and see what comes up next spring. Then transplant them to locations where you'd like them to grow (or you can plant them in place but you may risk them getting lost in tall grass and smothered before they get a chance to grow).
Some are in favor of keyline plowing but I've also read that in some soils you have to do it every few months because it doesn't last very long. IMHO making some swales to push water along and collect it in ponds would be a better use of your money.
If your ponds don't have any fish in them, release some bait minnows (live, of course). They're
native to the area, reproduce rapidly, and will eat the mosquito larvae for you. Plus they're super cheap. I got a pound of them from a fish truck for $8.50. If you have rain barrels they also harbor mosquito larvae but get too hot for minnows - get some cheap feeder goldfish (usually around 10 cents each) and put 2 in each barrel. Also see if your husband can clean out your rain gutters, they often harbor mosquitoes. We've found that lemon balm leaves rubbed on our skin helped repel them pretty well, but a clean diet with lots of green leafy vegetables IMHO makes you a less desired host to them.
I have MCS too but not as bad as it sounds like you do. I have to use
Milk of Magnesia for deodorant and vinegar and baking soda instead of
shampoo. I wash the laundry with oxyclean with a vinegar rinse to get residues off the clothing. I only clean the house with dish soap, vinegar, and baking soda, sometimes oxyclean or Barkeeper's Friend if I need extra help. I get a migraine from walking through a perfume section of a store or the cleaning or fertilizer section.