Since a binomial distribution approaches a normal distribution for large N, that's a valid assumption to make.
The arguments in this thread over which is the precise distribution are over analyzing, in my opinion. If I had an experiment that gave one winner with a binomial distribution, and a different winner with the normal approximation, I'd feel little confidence in the results and want to run it again or collect more data. I don't see how that would happen though.
Bootstrapping would be better, sure, but it would be confusing for an a/b test calculator to give you different numbers each time you refresh the page.
You're free to write your own R scripts if you want to do it yourself.
I agree with martian's advice about figuring out a minimum number of visitors you expect to need before analyzing the data, or else you're at risk of biasing the experiment by declaring a winner prematurely.