Well second trip to the dealer fixed the sticking choke which is a issue by itself and not related to the over rich hot restarts without choke. The Dealer could not duplicate it, they did go through the carb and found nothing. They lowered the idle set screw. Today I tried it hoping they fixed it and sure enough after mowing for 30 minutes I lowered the idle & shut it off to take a break, 5 minutes later I restart it and it's puffing black smoke and idle is erratic but clears up once it is throttled up
So the dealer is telling you he cannot replicate the problem, but for you, every hot start result in this over-rich condition, engine loaded up as indicated by the black smoke and erratic idle? so it really sounds like its possible the idle jets are too rich, which is better than too lean. THunter, how many seconds does it take to "throttle up", as I crank a hot engine, I almost always advance the throttle if I don't get an immediate firing condition? If you are attempting to start at idle, its possible that your engine is not making enough vacuum initially to get sufficient airflow to run smoothly.
The reason I mentioned aircraft, is because they are notoriously hard to start when hot, heat builds under the cowling, and if its on the ramp, the black pavement can create intake air of 115 degrees or so. On the old Piper Tomahawk,,, with the T-tail, it took a special knack to start some of them after they became heat soaked, they are low wing so there was an electric fuel pump, I recall a customer who couldn't get his to light, so I had to help him. I don't remember the drill as it was 20 plus years ago.
When I shut down in the heat, I sometimes allow the engine to idle around 1000 rpm, which is higher than normal idle, and perform the "mixture idle cut-off", our aircraft has a very effective mixture control, and the little higher rpm when the fuel is shut off allows the engine to turn through a few more blades, purging the cylinders of excess fuel.
In contrast the Ercoupe I fly, the CFI/Mechanic asks that I not use "mixture idle cut-off" but simply turn the switch to off? strange to me, but it works.... I have flown aircraft and maybe the Ercoupe is one of those, where the mixture is pulled full lean and they never completely seem to shut the fuel off, and the aircraft has a "run-on" condition, chuffing and huffing and generally sounding like something is about to blow??
So, my suggestion for you, is to try a little higher throttle setting for starting/and or shut down, not full throttle, but a couple of hundred RPM above the idle speed and get back to us on whether that might help, be sure to shut down the PTO, Hydraulics, etc before shut-down, if you have the lift lever somewhere that it is trying to spin a little hydraulic pressure, you could be loading the engine inadvertently??