What I'd like to do (but won't) is something along the lines of:
Well, I figured out a way to get you money, sort of. I have a cash advance limit on my credit card of $3,000 but owe a payment of $522 that's preventing me from accessing it. If you can get me the $522 to pay it off, I'll send you $3,022 to cover your costs.
Oh you're good.