To answer your question, yes, we put out a bale without a tractor. We have the person we buy the hay from load the bale onto our truck and drive the truck out into the field. Roll it off the bed of the truck, push it onto a pallet. It is not physically easy, but it’s a simple process.
I have a small quibble about the claim hay is good fertilizer/good for the pasture. Wasted hay is definitely not good for maintained pastures. Hay does not make grass grow better the next year. What it does instead is kills existing grass and introduces weeds/unwanted vegetation in its place. It changes the topsoil, traps sediment and silt, and contributes to mud and poaching. It is also slippery and takes a long time to break down as far as organics go. It won’t break down in one season, so come fall the pastures become a goopy mess with lots of slippery patches horses can lose their footing because of the hay. It also prevents proper water run-off because it traps in silt and sediment, effectively turning pastures into soup if there is enough waste.
OP, you mention your horses are shod so hay nets are out of the question. Can you buy a Haychix and feed it on an elevated platform where their hooves can’t get through? If not a Hay Cradle, something like a Hay Ring or Hayhut (IMHO, Hayhut is the best).
For years I had a very similar set up as yours OP. I put a roundbale out on a Hay ring with no haynet. The amount of waste from the hay was astronomical (50-60% of the hay) and it was not something someone could pick up on a Sunday with a few wheelbarrow loads. After years of this I got a Hayhut - it helped cut down the waste some, but I was still looking at 20-30% of wasted hay underfoot that still needed to be removed every time I put a new bale out, which was once every 5-7 days. I finally got a Haychix; I wish I had done this years ago. It would have saved me SO MUCH labor. There is zero waste. My pastures have never looked better; spots that in the past got messy/muddy because of former hay have finally broken down enough grass is reclaiming it, and the best part is I don’t have to move my Hayhut every week when we put a new roundbale out. It used to be I needed to move the pallet & hay at least 30ft away because there was so much waste; now I can keep the pallet in the same place for months and there is still no hay underfoot.
The Hayhut keeps hooves free of the netting, as an added bonus. I really would look into a net if waste removal is a concern of yours – and I get it, they waste SO much without the net and it’s impossible to keep up with if you’re a one-man operation juggling this with a full time job. I regret waiting as long as I did to buy the net. It’s really that transformative and my paddock has never looked better in the 20 years we’ve been here.