As stated in other questions it is hard ladies and gentleman.
- However it may not be impossible. Payment service providers may have relationship with other banks and PSPs and may get you approved. If Domestic USA solution is not available then they may take your application to an offshore processor. Please keep in mind that offshore processors may not be economical like domestic providers. They may charges higher MDR and may also put rolling reserve terms. They may also delay your settlements. All this is done to reduce the credit risk.
- The second option can be of ACH and Echeck. A massive number of customers in USA do not have access to well know credit cards. If these customers have access to a bank account they they may make payments by using ACH and Echeck.