Keith, my car (and it sounds like this is common due to carb percolation) is also hesitant to start after it has heat-soaked for 15 minutes, but it always fires up after cranking a few seconds. But even in the hottest temps, and we had some scorchers in Alabama last summer, the car never failed to run properly in stop and go or highway traffic (after going to an electric pump). That is why I think you are dealing with more than just vapor lock...most likely faulty fuel flow. Mechanical fuel pumps can do devious things and fail intermittently, sometimes after they get hot (suction leak...weak check valve?). My original mechanical pump would work for a time then with no warning lose prime, I never could figure out how to predict when this would happen (I was awarded a flatbed tow one time....). That pump is now in a land fill...... I had no emotional ties to it. ?
I suspect our ethanol-contaminated gas aggravates any weakness in the fuel system due to vapor pressures the old pumps were never designed to handle. A strong pump is fine as evidenced by many forum members, but I wonder if a weak pump might flake out when faced with low pressure adversity.
Stay with it.....but try to avoid tunnel vision, don't discount the most obvious possibility.