I had a similar problem of no restarting a hot engine in the summer, and I drilled a couple of holes through the inner surface of the gas filler cap- not entirely through, just through the inner lining, to allow air into the gas tank to replace the pumped fuel. Alternatively, if it vapor-locks you can try just loosening and re-tightening the gas cap. Never had a problem with it since. You might experiment with the gas cap trick before committing to having an aftermarket fuel pump installed.
Tom
Tom
1969 Series IIA 88"
I like it because I understand how it works (mostly).