I don't want to seem simplistic and acknowledge there are very good responses from my peers, but, the picture you draw tells me they are perfect for their own bank. The big question is where do the funds come from to pay the loan back since in 60 days Medicare will likely still be out the 30 days.
Why not charge them a fee for packaging the loan request and take them to their bank?
You would probably earn more than anyone could pay you for a 60 days loan.
I would also talk to them about their future financing needs since any lender will want to know their plans.
Good answers above guys.
Bob