That is a good suggestion. In this case I opted to pay $25 per year for unlimited bandwidth access to my photos (a lot of people seem to link to them) and all I want is full access to my rights as a contract-holding and paying customer to not have my images arbitrarily deleted without so much as an explanation. They are a private company but they took my money, gave me a contract, and I want a method to appeal a decision.
But first I thought I'd get the advice of wise FReepers so I don't do something stupid or pointless (something I'm prone to... ;0)
I suggest a dual approach, then. Put your photos on your own ISP's server so they're available on the web, and take up the matter with Photobucket.