How about composting it yourself in a large heap, which gets turned once in its life, then offering it locally on a 'bring your own sack and fork' basis, price per sack. Any residues in the straw should have denatured by the time it has been used as bedding then composted for a couple of years.
That way, you don't have to do anything yourself. If you site the heap in an easily accessible place near your access point you won't have folk trampling all over your land. Alternatively, you could bag it yourself and sell it from an honesty box (we do that for eggs and haven't been cheated once in 25 years)
You could put up information saying not to use the compost neat on seedlings and young plants as it's too concentrated, but to dig it into the soil over the winter where it can be worked in by earthworms.
(I would say I would take it, but we have plenty for our own needs)
If you offer it to allotment sites, it's usually a case of dumping a trailer load there and people help themselves, no payment to you.