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I've only used mine a couple of times, but it never got too hot to touch. Full sun will change that, I'm sure but outdoor temps were upper 70's and lower 80's.
It won't get hot from cooking in it. I've never actually pointed a therm at it but I wouldn't think it ever gets past ~85 of it's own volition. It will get warm sitting in the sun of course but that's not the smoker's fault.