95 Honda Accord LX 2.2L Overheating

Hello,
I have a 95 accord that has an overheating issue because the fans don’t come on when the engine is ran above 3,000 RPMs or so. I have done pretty much everything to my ability to fix the issue. I have replaced the fan switch on both the thermostat housing and the small engine piece where the upper radiator hose comes from, also the thermostat. I know its not the relay or fuse because the cooling fan comes on when the A/C is turned on. I just put in a new fan timer and that did not work either. The fans also will only come on when the key is in accessory or out of the car completely, but as soon as you turn the key to the run or start the engine hey will no longer come on. I have run out of ideas and will appreciate any ideas you have. Thanks in advance.