the 94 accord used an electric system to control the "mode", temperature was still controlled by the cable.

Your selector motor probably ate shit. Go to the following link for a diagram of your heater assembly, the motor is #7. Not cheap at all, but usually you can find an entire heater assembly on ebay for $20-$40 which should still have the "mode" motor on it.

http://www.hondaautomotiveparts.com/...y5=HEATER+UNIT