Banks can be very fussy whose money they are prepared to look after, particularly if you have a bad credit rating. I would be prepared to act as a third party and to open an account in my name, where you could deposit your winnings. To facilitate this arrangement, I would charge a small fee, say 10%.
Please let me know if this suits you, and I will set things up. The Cayman Islands National bank have an offer on at the moment, and all new accounts opened recieve a free gift. Either a paper shredding machine, or a digital toilet roll holder. Let me know which you prefer.