Dutch-VTEC

I am going to be a b20 block with a gsr head. I am going to turbo the car and was wondering what tranny would be the best. I have thought about the b16, but when I had it in my hatch, I went through the gears way to fast. What do you guys think is the best tranny for my setup. By the way, I doubt I will end up with one that has a lsd, not in my budget. It is oing into a 95 integra ls. Thanks, any help is much appreciated.