Bob, are you actually confessing to violating copyright, and then saying " that was their excuse to delete the account"? If that's what you did, you deserved it 100 percent; I don't see what defense can you possibly offer. We've talked about this here recently, and Stuart joined in to say that stolen images had been a very annoying problem for him and Karla. If you're thinking of a replacement site, you'd better plan on behaving better if you don't want trouble to follow you.
As far as I can tell, Tumblr has no rules at all, and their site is filled with stolen images, often with pious intonations like "If you claim copyright for one of our images, let us know and we'll remove it". Go there and do that, if it's what you want.
Nowadays my own pictures are on Dropbox, using the "Public" folder that accounts from before October 2012 can use. I'm not clear on how the functionality changed at that point, so I'm not certain that someone can open an account now and do the same thing. With my account, I can post HTML files that would effectively be my own image gallery, set up as a web page. The only rule Dropbox threw at me was "Please don't use our service for anything illegal". Many vendors have issues about nudity, so it was refreshing not to see any prohibition.