There are some intermediate ways to do hay, still using a
tractor if you have one. I have a complex trade with a neighbor more fortunate in the equipment department than I, and we figured out how to use a silage chopper to do loose hay with almost all machinery. He mows it first with a regular tractor drawn mower (I think), then after it drys, then he blows it into a dumping wagon with the chopper, stopping to jump on it and pack the load down. It comes to my place, and we dump/slide it out in one big loaf of hay onto
pallets on the ground. It's about 1200-1500# per loaf, it just fits onto six pallets laid two across. There is a bit of judgement required as far as avoiding really heavy grass at the edges of the field, but it sure beats raking it up and loading it into and out of the truck by hand with a hay fork!
Once all the hay loaves are in place, I cover the whole thing with a couple layers of tarps. If it's an exceptionally wet winter sometimes I get a little mold right on the top, or I might need to lay some scrap lumber across to keep
water from pooling in the tarps, but I generally have very few keeping problems. Using it is a little trickier than normal hay because it's pretty short, so hard to fork. I either use a wheelbarrow or drag a big pile of it around on a piece of old tarp. Here in the maritime Northwest, haying is quite tricky, and one big advantage of this way to do it is there is a quick turnaround from the time when the hay is perfectly dry to when it's picked up and stored dry. Moving that much hay by hand takes a long time--I've lost a lot of hay because I couldn't get it picked up fast
enough by hand.
Not to say that scything and the like isn't good too, but it's hard to get enough hay put up if you're talking in terms of farm quantities (tons). I do
nettle hay with scythe and racks, which is a specialty thing, and well worth it for the nutritive value. Hay is sort of like feeding gold boullion here on our tiny non-ferry served island, where everything is super expensive to bring on from somewhere else, and an 80lb bale of grass hay can easily cost 40$ or more by the time it lands in my barn. Much better to limit the hay you need to put up by rotational grazing and improving pasture and forage, and growing fodder crops like mangels and kale to feed in winter, but there are always a few months where some hay is needed, no matter what.