If your credit history is ok...and your husbands not too good...then by having a joint bank account may effect yours (in a negative way) by being associated to each other. However, If you are already living togother, then this may b the case anyway.
Most banks offer online banking, or are you after one exclusively internet based???
If you go for a purely interenet based bank, then you will probably be declined as they tend to be a little more selective over their clients..(in other words, ones with a clear credit history)
I would try whoever your husband banks with for his business.