I haven't seen any that accept regular debit cards. But, there may be some out there. Some debit cards have a master card or visa logo on them and can be used as credit cards as long as you have sufficient funds in your account. Another option would be looking into those pay-as-you-go credit cards. They allow you to put whatever amount of money in their account and then use the card to draw from it. They were originally intended for students so they had money when needed but didn't run up astronomical bills. But, anyone can and does use them now. Yet another possibility is that some take electronic checks or allow you to order via snail mail payment. Just a couple things to check into.
Ann