Okay. First off, its VTEC. No h.

Your car is a pretty uncommon swap (I've never seen pictures of a hybrid DA), so you might be mostly on your own.

From a couple minutes of research, it looks like the D16A1 is nearly a direct bolt in into the 84-87 Civic/CRX.

Given that, it may be possible to use HASport or Place Racing mount kits designed for the Civic/CRX, or some combination of those mounts and your mounts, to put a B series engine in your car. However, HASport's site is down at the moment, and Place Racing is changing their site around, so I'm not entirely sure and there is no real good way to research. The Civic/CRX shift linkage is a little shorter than the 1st gen Integra, so you would need to make a custom shift linkage.

Any B series motor will do, though you'll want a cable transmission. Non-VTEC would be slightly easier simply you wouldn't have to run wire for VTEC, but not that big of a deal.

A H series swap would require SERIOUS modification, and you would be pretty much on your own for motor mounts.

The ZC motor was in 88-89 JDM Integras, and has only a hair more power than your motor. The only real gain you'd get would be slightly more common mods.