Take a leaf out of the Team Race guy's books, if you simply must start a hot engine again the squirt some raw fuel over the block to cool it down.
Just in case you are wondering, I have never seen one catch on fire doing this - the outside of the block simply is not hot enough.
Oh, goodness, don't dump fuel on it. We routinely fly back-to-back in practice, and I used to fly flight after flight by myself back in the Fox 35 days. Land, fuel up, go again.
It's a matter of technique and it tends to differ from engine to engine. Many times it takes very minimal if any choking/prime. All of my PAs, for instance, took very little choking if was still hot enough. Let it cool a little bit more (i.e. fuel up and then have a conversation or a few minutes) and then it requires maybe *one* pull-through with your finger over the intake, and you had darn well better get it the first time. Of course if it cools all the way down, normal light choking. This is pretty typical of ABC/AAC engines. The RO-Jett takes a few chokes and a few aerations when hot but is otherwise similar.
AAC/ABC engines are prone to "shrinky piston syndrome" if you over-choke them when hot. If you overdo it, it will kick on the first back-bump but not run because it's too rich, and then dump the excess cold fuel on the bottom of the piston. It shrinks, the liner doesn't, and the whole thing feels like you unscrewed the glow plug. David's solution is to just remove the battery, flip it through 20-30 times to equalize the temps and aerate, and when you feel the compression come back, attach the battery and back-bump.
I got dead-nuts reliable hot starts with the Fox by fueling, attaching the battery, and pulling the engine through compression with my finger over the intake until I got one bump, the removing my finger and flipping through immediately. 20 times in a row, no problem. First time I tried that with an ST46, it got so much fuel it locked up.
This is all with inverted engines. Side mounts are harder and upright is the hardest to get started in any circumstances. They are far worse cold than hot (because hot you don't need to choke them much).
If a Fox starts reliably hot, you can figure out how to start anything hot.
Brett