In addition to those named above, here are some other dog-friendly buildings in JH. As a dog owner myself, I'm sensitive to this issue, and always ask potential buyers about their pets. I would argue that buildings that allow dogs benefit as far as higher prices -- after all, if you lose the dog-owner as a potential buyer, your "demand" decreases.
The Berkeley allows dogs with no size restriction. So do the Wilshire and Somerset. As do some of the Hampton and Linden Cts. And these also allow dogs of any size: Elbertson, Fildor Hall, Roosevelt Terrace, the Belvedere and both Belvedere East and West.
If you don't have a realtor who knows the rules, one way to find out by yourself is to go to the websites for the various Management Companies -- Lovett, Metro, Wavecrest, etc. and search for the House Rules. These typically contain all the things you want to know about pets and other issues. You can also search the address on Streeteasy, and see if pets are or are not allowed. (This won't give you any size limit, but it's a decent way to begin your search.)