car won't re-start after driving for about 15 minutes

After driving my vehicle for about 1hr. If I turn it off it takes about 10-15 minutes to restart it. The key turns but no noise no attempt of turning on the engine. New engine, battery, radiator, etc...I have pretty much restored it. It is a 92' Chevy C1500 5.0.

@ Anonymous. i have the same issue with my 90 model. it has a new sarter, alternator, and terminals. ive read that it might be that the ignition switch or ignition module heats up and needs to cool before it works again, meaning the switch is going bad. i havent confirmed this yet though. if this helps let me know.