My thread search has been futile, although I'm fairly certain this has been covered before:

I'm about to re-finance some credit card debit (incurred in one transaction buying a new car) and wonder if there's any tried-and-true mechanism or institution that would allow me to borrow the money (secured against my car note if necessary) and then pay the installments with a mileage-earning credit card?

Or, perhaps better, is there an account I could set-up with BillMatrix or Paypal or such -- that would, effectively, accomplish the same thing?

In advance, my thanks for any input and advice.