What experience is that? I've never heard of anyone getting paid for pending earnings when their account is banned.
Shouldn't be any problem? There's a huge problem. When Amazon bans your associates account they do not permit you to open a new one. So unless you have an alternate set of credentials, then it is a problem. If you are a US citizen and want to get paid to a US bank, then it is virtually impossible. I have no experience outside the US, so maybe it is easier since you don't need to provide a SSN and US bank account.
OP, this depends a lot on why your account was suspended. Were you doing something that was against the TOS? If so, I think there's virtually no chance that you can recover the earnings or open a new account. Your best bet is to find a partner to open an account and move all the links to their ID (after fixing whatever caused you to get banned in the first place). Alternatively, you can immediately try to sell the site while you still have the earnings track record.