Found this nice little email in my inbox in the next morning:
|I confirmed that your contact and payee addresses have been updated. Because you have changed your state of residence, your account has been reinstated. However, we want to be sure you are aware that you may be asked to provide proof of residency at your new address. If this is the case, we will contact you with instructions on what documentation to provide and the submission process for this documentation.|
Now most of you I'm sure don't have a second address out of state or even out of country but you can get a second international mailing address or drop box for a relatively cheap price from a service firm like this. There's a bunch of different small businesses like this online and some will even hook you up with a street address (not a PO Box).
I know DangerBrown made a post about using an LLC in something like Delaware and then reopening an Amazon account through a new corporation. This is definitely a better solution but would be a bit more work so it's a tradeoff.