If you want to do a simulation, including driving it to the store and such, for a complete re-creation, that's fine. Of you could drive it to the store parking lot, park, sit 15 minutes (or as appropriate), then get out, raise the hood, remove the air cleaner, move the throttle to check for accel pump shot or "percolation" of fuel into the venturi area, then put it back together and try to start it.
OR you can do the same amount of driving, then pull back into your driveway and look around for the same things.
The "1/3 down accel pedal depression" technique is straight out of the Chrysler owners manual.
Unless the float level has become way too high, after the hot soak there should be enough fuel in the float bowl to run the accel pump (which usually feeds from the bottom of the float bowl). Enough fuel to get the engine started and run long enough for the fuel pump to re-fill the front fuel line with new fuel, hopefully.
Here's what I'd start with. Check for vacuum leaks in the vacuum hoses and connections. ALL of then, under the hood. Check the carb mounting nuts for correct torque, too. (a vac leak there will be below the throttle blades, so unregulated amounts of air getting into the intake manifold!)
How do the power brakes work? Any extra hisses and such when the engine is running?
Verify point dwell with a meter. After that, verify the engine's base ignition timing, then the idle speed and mixture. In THAT order! And check to see that the vac advance can will hold vacuum.
Possibly not an issue, but shoot some carb cleaner into the pcv valve, shake it, then rinse it out. Repeat until the fluid comes out clean. I've not had a slightly clogged pcv vale cause any issues, but keeping it cleaner and working is always good.
Worst case scenario is that the factory Holley (350 horsepower engine) might need to be kitted. Attention to if the secondaries are fully closed at base idle, or as closed as they need to be, after the primaries are correctly adjusted.
What kind of shape are the spark plugs in? Just curious. Plug wires too?
I'm suspecting it's a vac hose that has a small crack and leaks at certain underhood ambient temps. It could also be that the carb is having issues and has partially fouled some of the spark plugs, but I haven't had any issues like that (although carb issues are always a consideration). You might also check the innards of the distributor for the condition of the breaker plate ground wire, for good measure.
Key thing is to be methodical in the examination of possible contributors to the starting problem.
Keep us posted,
CBODY67