This has already been tried with Webmoney, Liberty Reserve and other digital currencies. The result was massive fraud, even with phone call verifications, mailing to addresses and filling out tons of paper with notarized ID scans. A few still do this but only for a small handful of long term customers and for 20% in fees. Liqpay I think still does Visa/MC transactions to Webmoney but for a maximum of $200 and you have to live in a CIS country.
I would also imagine that you would get so many fraud attempts that all processors would drop you in a heartbeat and your charge back insurance partner would drop you too.
Seems easier to let somebody else handle this, like a site that allows users to use their own card to fund their own accounts, and then later transfer the non-returnable internal funds to you after they clear. Russian service wallet one
http://www.walletone.com/ lets users do this, though I think it's through Liqpay and won't work with any US or Europe cards. There are a lot of similar services everywhere.