Four years ago in Pattaya, Bangkok Bank wanted proof of a long term visa but wasn't that concerned about address. It seemed you had to go to one office only to open the account, the one almost opposite Soi 6. I think you can change the transfer limit online, at least within certain bounds. I tried the application and, while I forget the exact reason, decided to stick with their web site.
Once upon a time Kasikorn Bank, was quite receptive to opening an account on a tourist visa. I have seen reports that may still be true.