Even if you have a 160 thermostat and a radiator and fan thats doing its job, the motor can still run hot. With my turbotweak smog chip, the motor ran at over 200 degrees even with the 160 thermostat and the fan working, and with a good radiator. Normally I run at 162 degrees with my extender chip. So your chip may be determining the fan turnon point.
When I got my car, the low speed fan was barely working. I knew it wasnt the fan switch on the intake manifold because it was switching over....the fan was just barely spinning. I popped the relays off the inner fender and popped the connectors off, and all the pins and sockets were packed solid with 20 year old die electric grease. I spent about an hour with ronsonol lighter fluid, a pick, some q-tips and a blowgun, and got everything sparkling clean. After that, my low speed fan worked great. It spun much faster and everything worked when it was supposed to. So before you do anything, make sure to clean all those contacts out. Not just the connector, but the pins on the relays as well. With a poor connection, the amp draw will go really high and can start burning things out in your electrical system, and will put a huge workload on your alternator.
Make sure all the contacts are like new, first, and then move to other things. When the low speed fan relay turns on, the circuit goes through the fan resistor. When it switches the high speed relay, the resistor is bypassed and it puts full power to the fan. Some people will run a wire straight across the fan fuse, so that when the low speed fan relay turns on, it goes straight to high speed. I got a weird vibration at high speed since the fan isnt perfectly balanced, so instead of just running a straight wire to completely bypass the resistor, I ran a 50 watt, 1 ohm resistor to slow it down a bit. It almost runs at full speed now, but not all the way, and I dont have that vibration and its not working the 20 year old fan to death.
So between the cleaning of all the contacts, the 1 ohm 50 watt resistor, and the autozone F-Body radiator, my engine always runs cool, even in stop and go traffic, whereas before it was always overheating.