Trouble with idle and warm starts

Low-speed circuit is not working, or gas has soured, or gas is contaminated, or carb is flooded.
Where is Willowby in terms of ambient temp and elevation.
After two starts and 6 minutes running, the choke should be off.If the choke-butterfly is not hanging vertical the engine may be flooded. This is born out by the ok next-morning-restart.
This also points to the fuel being OK.
So that leaves just the low-speed circuit failure, and or flooding condition.
If that is a Thermoquad carb on there, and the butterfly is hanging open,then the main wells may have parted company with the phenolic body. This is sorta common. When this happens fuel seeps/leaks out of the bowl and into the intake. On a cold-start the engine needs plenty of fuel, so, often this goes undetected until the hot-start becomes an issue.
You kindof have to rule this out before going further.
But before you do, on the TQ, there are two metering rods, one under each hat, that at idle are supposed to be stuck down.... by manifold vacuum. If you have a large vacuum leak, they may not stay down. So between the needles flowing, and the vacuum leak there is your idle-stall.
So I guess before anything, go look for a vacuum leak. Check every hose that connects to the intake,especially for splits where they connect o something. First is the brake-booster hose. Then inspect the PCV, they are known to break apart yet look fine, so pull it out of the grommet and rattle it. Then If you have an EGR valve on the intake; make sure the pintle valve is down all the way, and that the diaphragm is not ruptured. Then check all the other little hoses.
Finally, pull your dipstick out looking for gas in the CC. If the mainwell is seeping, gas will end up in the oil.
This will keep you busy for a while.