Do Simaudio integrated amps run hot?

I've owned Simaudio I-5 LE and Simaudio ACE integrateds, don't know if they are similar to the one you're considering, but neither of them created any appreciable heat. Slightly warm on the top, as I would have expected.

I have a 600i. It's in a near field system and I don't crank it, but it runs cool. First ten watts are class A if memory serves. 

My Ace owners manual says 4 inches sides and back, 9 inches on top.