@Paulie ********
you can open a bank account on a 30 day visa exempt or a 60 day tourist visa IF that bank manager lets you do it. There's nothing in banking law that says you can't. It's totally a branch manager decision. If one bank won't let you open an account go to the next bank.
I get people writing all the time "we went to every bank but couldn't get an account" and when questioned it comes down to they tried 2 places and gave up. :(