If you rent to the buyers, then know they have an actual loan approval for the amount offered, and can go up. Is their offer close to fair market value?
Also, how long will it actually take for the bank to foreclose once you stop making payments. If it's 4-6 months, rent it to the buyers, unless their are other prospects. You still have liability issues and headaches to deal with, but you have money coming in to help you keep paying the loan. If the buyers/renter are on board, and they totally check out, and they have a loan COMMITMENT for the purchase, and it's fair market offer, and you have a lender that is reasonable, it could be a good solution.
Other ifs you want to cover too. And get a nonrefundable binder deposit, not security deposit.
Weigh it out these buyers or ???? What are your potential options? What are their terms in the contract to buy?
It's risky, but a bird in the hand....
Besides, if they move in, contract to buy, show they are fully capable to buy, put their money where their mouth is, no other reasonable contract options, then you risk them trashing a house the bank will foreclose on.
On the other side, you are still making payments, so you might have a year before the bank forecloses (not sure how long the norm is in VA) to get another offer and hope the buyer closes.
Good Luck.