I don’t know for a fact but usually having fresh moving air and having the coolant system circulating and the oil circulating usually does a better job at cooling things off than sitting with the hood open and th eengine off. If you drive under 30MPH, crack the hood open but don’t release the latch. Not highly recomended but I’ve done this during auto cross events between class changes etc. It cooled off my BMW’s way faster than sitting still with the engine off.
So for the 1/4, maybe you can pop the hood right after you slowed down for the turn around and then continue driving slowly through whatever area is open/free until you are ready to stage again. Jsut a thought.