MPilot,
You're on the right track
However I went back and reread my earlier post, what I said may have implied I was discussing the maximum allowable temp during start and this is critical, but what I wanted to emphasize is the ITT BEFORE introducing fuel is almost as important .I'm sure there's a limit on this and worth memorizing.
The lower temp you have before introducing fuel, max motoring within starter limits plus using external power when available will give you the coolest possible starts, best starter / battery life and most importantly take care of your engine.