I don't know about bitcoin mining but I would think bitcoins could replace Neteller as they are under no obligation to report anything to any government. Just transfer some money to a bitcoin bank and transfer bitcoins to a sportsbook for credit (if they started accepting bitcoins as payment).
It is a money system outside international banking.
This is still accurate over a year later. Bitcoins going strong, there are a few solid bitcoin sportsbooks (btcsportsbet and btcsportsmatch) - it's like neteller but better - there is no middle man, bank or govt to get in the middle of your deposit/withdrawals.