H22a comes with a LSD??????? That's news to me.
Turbo B18b's are far from weak; the b-series engines are perfectly fine to mod. But if you really want to swap, the H22a is a good choice.
An alternative to the H22a is the cheaper B20.
Before you get the idea that you're going to make 800 whp, note that guys with 300 whp turbo b18b Integra's have considerable issues hooking up. Having insane power on a front-wheel driver is a quick way to ensure big $$$ is spent on finding traction.
Shingo