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The IAT goes in the air filter box on mass air trucks. If you have a speed density truck, I don't believe you have this. I think it was only on mass air trucks. Seeing as how you have a MAP, your truck is speed density. I believe all the 460 trucks were speed density. Where is the IAT located on the 460?
The IAT is at location F6 in the diagram below for the 460 with a MAP sensor.
I had a similar hot start condition that a few shops and 2 Ford dealers could not figure out. An SVT mechanic even looked at it. It turned out to be the injectors. They would leak fuel into the engine and flood it out when the engine was shut off. I just replaced all of them.
The problem my F150 had was it would start fine when cold, but after being driven it would be very hard to start unless you started it back up within a few minutes. It would normally have to sit for a few hours or longer before it would start normally.
I'm pretty sure it's not this, my regulator went out a few weeks after I bought it, so I got $900 worth of new injectors. I've been told afterwards that I probably didn't need the new injectors, but at that point the shop didn't know the regulator was bad, they just said my injectors leaked. After I still had problems with new injectors, they found out I had 140psi to the fuel rail, which was causing even the new injectors to leak.