@Dave *******
A DTV is just a glorified tourist visa. It has no bearing on whether you can open a bank account. You can open a bank account on any visa status or even visa exempt. Except that these days it’s getting almost impossible to do without a non immigrant visa.
Some bank branches will let you with a residence certificate from immigration. Some will let you if you buy their inflated insurance policy. Most probably won’t so you’ll need to get hold of an agent to do it for you at a cost.