Went back and read, and then re-read your first post. I really don't think there is much, if anything, wrong with your carburetor (other than it is a Rochester

)
I think the problem is with the gasoline.
QUOTE "The issue yesterday was that I had stopped for only about ten minutes, and when I tried to start up, I could not get it to run. I figured it just needed to sit for a few minutes (so I made my father’s day call) and gave it about 20 minutes to cool, then it fired right up.
I raised the idle with the throttle knob and had no problems the rest of the day." END QUOTE
If the float were bad, or the power valve was malfunctioning, you would have continued to have problems.
Modern fuel, with or without ethanol, causes havoc with driving carburetored vehicles. And vehicles in the mid-1950's were beginning to have hot soak issues. Carter came out with a "hot idle compensator", but Rochester did not wish to pay Carter royalties, so didn't use it. Instead, Rochester came up with a number of fixes, including the infamous slotted throttle body gaskets, and a really useful aftermarket item - the Carb-Airator. Rochester finally relented, and used the HIC on two and four-barrel carbs. (opinion) Rochester's two and four-barrel carbs are among the finest ever made!
The hot idle compensator is simply a heat sensitive valve (bi-metallic strip attached to a valve) that opens and creates a metered "vacuum leak" under extremely hot idle conditions. Used to be automatic transmissioned vehicles had the most problems, but today's fuel means everyone has problems.
Here is a link that shows a number of hot idle compensators, including the slotted throttle body gasket, and the Carb-Airator
Hot idle compensatorsIf you can locate one of these little gismos, it just might solve your problem (other than hot starts, which my previous post should solve).
And when you do get tired of the Rochester, the Carter single barrel is a far superior carburetor (opinion).
Jon.