It dies after about thirty minutes, then it won't start until it cools back down

might be faulty fuel pump as after thirty minutes the pump has cooled down and able to pump fuel again

Pull the pre O2 sensors( it will be loud). If it stays running longer, replace the catalytic converters.

Could be the ASD relay among other things.
Can you check to see if the coil and injectors have power the next time it fails to start ?

Most likely causes are bad engine coolant temp sensor OR leaking fuel injectors. Bad engine coolant temp sensor will give computer false reading and computer provides wrong air fuel mixture. Leaking fuel injectors will load the engine with raw gas--just like flooding it. Try pushing the gas pedal to the floor and holding it there when cranking when hot. That forces the computer into "clear flood" mode and it shuts off the injectors. If it starts up with pedal down, that would be a sign of leaking injectors.

Check all fuses ,wiring anywhere short or check alternatour

One possibility is a blocked fuel line or filter. It basically runs out of fuel and you have to wait for it to come through slowly. The other possibility is the ignition system is losing spark as something heats up. You have to wait until it's cooled down before it runs again.

Try the fan sensor. If it heats up to half way then dies, its more than likely electrical.

Sounds like you want to check for a vacuum leak at the intake manifold gaskets. This can easily be done with a can of WD-40. Spray the oil around the gasket areas, and, on all vacuum lines.P.S. do this with the engine running. I'm sure you'll hear a stumble or slowing of the engine, if you do concentrate the spray until you're able to pinpoint the leak. Thanks, Dana

sounds like a stuck thermostate

Check the prrimary and secondary resistance on your coil. Also check the resistance of the plug wires and plug gap.