Did you ever look at the 'Paypal Credit Card'? There are a lot of payment processors but actually you need to connect with them. Or through you bank account or through a credit or prepaid card.
Basically you can sell without having one. But as you realized: in a way you need to take your money from Paypal.
When using a prepaid credit card you have to make sure that you can transfer money to it too.
Hope this helped you a little bit or gave you some idea on how to proceeding.