OBD2 Engine Harness (since in OBD1 CIvics and any integra they clip in on the shock tower) should work and allow you to use the standard distributor.
I was with bobby for a min till i thought about it. Easy to get confused cause when you see OBD2 HARNESS into OBD1 you automatically think about the problems the OBD2 CIVIC harnesses have, not the integra.