I've had similar issues, but not often - one was fuel starvation caused by fuel pump not working when hot (it wasn't an SU unit).
Maybe the most similar to yours was a carb fault, where the throttle slide was fine when cold, but would stick fully open when hot. This caused over-fueling and loss of power, making the engine stall if you tried to idle. when hot it wouldn't start at all (could tak 45 minutes or more to work again). However when I spotted the issue and manually pushed the throttle slide back down it would start.
Another, but less similar was a partly blocked inline filter - the carb ran empty when under heavy load. Car was fine as soon as it rolled to the side of the road... Along those lines, have had this behaviour also from a car with no inline filer - all the fluff & gunge built up in the needle housing, with same effect as a partly blocked fuel filter.
Problems like this are a pain to diagnose. We had a similar (but different) issue en route through Spain and it only occurred when going along fast A-roads up hill. Usually when passing a truck or some other highly inconvenient moment!
Your issue/symptoms appears to go away by itself just by cooling down.
Rather than randomly changing parts and not knowing if it's fixed until it re-occurs I'd recommend taking a bunch of useful stuff with you to help guide the diagnostics when it is in faulty mode.
The difficult thing is making the car break down near to an area where you can safely play with it!
First thing I'd want would be a spare spark plug - remove #1 lead and sit the plug on top of front head bolt. This way you will see if you're getting a decent periodic spark! It's a much better method than trying to remove an existing plug at max temperature! Seeing the spark in direct sunlight is not easy - you really want to be in the shade, even if that means closing the bonnet most of the way - then you should see a clean blue spark.
*Assuming you have a decent spark move on to fuel...
The fuel pump will stop ticking when the carb is full - most will have a slow background tick as the pressure in the pipe leaks back through the pump (some dont). With ignition off, carefully remove carb end fuel pipe and fit into a small plastic bottle, like a 330ml fizzy drinks bottle, cleaned to remove all sugar residue!. (Be careful! e.g. have some 5L water bottles nearby, and some rags, but if fuel gets on the rags, keep them WELL AWAY FROM YOU & THE CAR!).
With ignition on (only as long as it takes to hear the pump activate), the pump should race away and chuck fuel into the bottle. If that works, that rules out issues with the fuel tank, fuel lines, pump and pump 12v supply.
Then if you're well organised you can put the lid on the bottle and make a very small hole in the lid - with the bottle mostly upside-down you now have a petrol sprayer (be careful! e.g. have some 5L water bottles nearby, and some rags, but if fuel gets on the rags, keep them WELL AWAY FROM YOU & THE CAR!).
With the fuel pipe securely back in place and ensuring the problem is still present, remove the air filter housing. at this point check the throttle slide (even if you know it's ok, as the plop noise is fun) the damper should limit how fast it will rise when pushed with a finger, and it should fall back down rapidly with a 'plop'. If that's working, spray approx 1 to 2 teaspoons worth of fuel into the carb mouth.
If the car now starts and later it stalls, this indicates a fuel issue INSIDE the carb (such as stuck inlet needle)
*If there is no spark, or it's intermittent or weak, then focus on more of the electrics:
Using a bulb test circuit connect from dizzy LT lead/connector (whilst harness is in place) through bulb to ground. With ignition on, turn engine by hand (starting handle) and you should see the bulb go on and off with the points opening/closing.
If this works, and you've already swapped condensor, then more likely issue is in the HT side. however, before removing the bulb test circuit, I'd be tempted to double check the static ignition timing. I struggle to imagine why it would be different when hot, but checking it would make me feel better!
To do all of this at the side of the road isn't fun. It's probably worth a dry run doing the tests to make sure you can, before setting off into the unknown. The last thing you want to do is break down, in readiness to fault-find, and find out your diagnostic gadgets are not up to it!
If you make up some 12v wires with croc clips etc.. for the bulb test circuit, then you could make another (with fuse!) in order to hot-wire the starter solenoid. This is far more efficient than relying on the key when you want to work underbonnet! when over-riding the starter solenoid, do make sure the ignition is on though!! most people have made that mistake at least once
