From when I lived in MO:
MOst of the ones out there are standards, large standards, with a fairly significant sprinkling of Mammoth Jacks. (Mammoth jacks are usually what folks want for working or riding mule crosses for more size, mules sired by a large standard are usually big
enough to ride and certainly big enough to drive)The miniatures have also gained a fairly significant foothold but are mostly a pet/curiosity.
Burros are frequently pretty darn close to mammoth jack size.
While there is some registered stock, I suspect the vast majority of animals out there aren't purebred in the modern (well, Victorian) sense- they're just registered on what they look like (or more exactly, how tall they are). If you're looking to incorporate donkeys into a system, I'd worry much less about breeds/types and more about the individual animal doing the work you'll need. I've known some that were wonderful (neighbors had a lovely mule that rode and drove and was absolutely spectacular for ANYONE- veyr safe, sane, and sound, and still working hard at 32, barefoot, on pasture
feed only!) and some that are just nuisancy little pests (like ponies with extra evil, and honestly, ponies come with so much that it's hard to imagine more!) If the animal is just going to be fertilizer input/pasture pet, that's pretty darn simple, and donks DO have a lot of advantages in hardiness and good feet over horses- but their quality for working, whether it's driving/riding/LGD work- varies hugely.