Caribou is excellent, you're in for a treat. My wife ranks it #1, elk #2. (I put elk #1, caribou #2, moose #3, whitetail #4, dont care for mulie... but when my wife says "we need some caribou meat", I dont argue!) Anyway, yes, I agree with rbranstner - cook/smoke it the same as any other extremely lean venison being very careful about the moisture. With game meat I go mostly for steaks, stir-fry, and ground. And about half of it into sausage, kielbasa, etc. Anyway if I was doing game in the smoker I'd wrap it in bacon and definitely have a pan of broth beneath it, in fact I'd probably have it foiled for half the cook time, think about serving it in the au jus, or like the "italian sammies" you see some good pictures of here on SMF. Your biggest issue as with any game meat will be the dryness.
ok, now I'm hungry.