The fans on a 93 Accord only ran when the engine was warm enough to need them. I know from personal experience, having a half-dead F22 Accord sitting downstairs in a garage that died of over-exertion and a bent piston rod. Anyways, if the fans don't run at all ensure that the relay is linked up to the control switch properly and that the control switch is actually working. That's the major thing that would be wrong with what you're describing. I'm gonna go ahead and assume you're using a stock H22 ECU?

If you haven't already, I really recommend dropping by http://www.cb7tuner.com/vbb/showthread.php?t=5423

That's the swap FAQ for CB7tuner.com. You should consider making a post over there too, the guys know a ton about early 90's accords, and alot of them are running H-swaps in their rides, so they've heard all the stories.