I don’t know about South Carolina but here in New England definitely local farmers will hay the fields. We pay for fertilizer (had the soil tested) and the farmers spread it. Also, they use my manure. The only “price” they pay is they have to wait until August 1 for the bobolinks to finish nesting!!! 
But lots of people around here have someone hay their fields.
One interesting, non chemical way to get your fields in shape is to use sheep. I have not done this, but our neighbor does with her sheep and her fields look fantastic. You have to be very committed to moving them around and not letting them graze in one spot, but their manure is, I gather, terrific, and her fields look gorgeous. I am considering this with our fields here, but only if the farmers who hay it agree. And no, they do not spray “unnecessary junk” on the field at all–they feed it to their cows!!
I’m in NY, but I had a neighbor contact me. They want to seed and get hay from my field, then give me some of it as payment, or cash.
Yes, that is quite normal around here. My hay guy doesn’t have any land of his own that he hays but lots of fields that belong to others. I think his only “qualification” is that it’s at least 5 acres. If the hay is too weedy etc it goes to his cows but anything else is sold to horse owners.
Short Answer: Yes
I have 5ac total.
Across-the-board neighbor - who leases various fields in the area - cuts & bales the perimeter not taken up by house, lawns, barn & pastures. So maybe 2ac in an L-shaped area.
Generally 100+ small squares come off it.
He keeps the hay, I get a property that looks civilized.
I buy hay from him at bargain basement prices.
Acreage was leased (except for the 1/2ac of house & lawns) for rotational beans/corn when I bought it.
The first year he hayed it was cow-worthy junk.
Five years later it’s a nice field of orchard grass w/minimal clover.
