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Question: 1995 Ford Taurus 3.0 overheating

I just bought a 95 Ford Taurus GL 3.0 with 93,000 miles in great shape for my son as his first car (too good a deal to pass up). The motor and tranny sound great, but the car has started to overheat. At first, I didn't notice if the electric cooling fan worked. So to begin, I've flushed the cooling system, refilled with coolant; changed the thermostat from a 197 to 160 (I live in south Florida where it's always HOT - I've done this before on other cars and never a problem), replaced a heater hose that had a small pinhole, now all hoses are good - coolant level is always fine; changed the coolant temperature sensor and radiator cap. I then started the car (cold) and turned the a/c on and the fan started working. The temp gauge stayed between N and R in NORMAL on the gauge for about 2 days and idling a long time. I thought problem was solved. A couple days later the car began overheating again. The temp gauge goes passed the L, and when I shut the car off I can hear it boiling in the coolant overflow (so the temp gauge seems to be accurate). Prior to turning the car off while the gauge was near or passed L in NORMAL, I noticed the fan was NOT clicking on. I turned on a/c and fan still did not turn on, although it did a few days prior. I bought a PowerProbe to run some sensor/relay tests but have never used it before. Any ideas out there? Did I miss something? Any help is much appreciated!! --- Gabe