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I think the fully Cooked hams that we get only need to be like in the oven.. 160° heated through to the center.. don't put too much smoke on it if it is already smoked..
If it's fully cooked then run your smoker at around 200 degrees, until you reach an IT of 140, then a short rest on the counter will bring the temp up to 145.
Al
I case anyone is interested, when I Double Smoke a Store Bought Ham, I take it to 145° IT to be safe, unless the Ham comes with instructions like the one below. Then I take it to 140° because I personally don't like Ham below 140°.
These tags are usually hidden under the main label on the Smoked Ham Portions I buy for about $1 per pound: