Turkey breasts can certainly get dry, fast. Just the breast (not the whole bird) I only brine for a few hours, (not 8-10 like I do the whole birds), smoke with teensy bit of apple or cherry, 225 and take it out at 165-170, wrap it quick and let it 'finish' inside the foil, towels, and styrofoam chest. Usually comes out pretty darned good.
Only time I've had a problem is when I didn't hear the beeper on the thermometer and the temp rose to the 178 range. Try another one and watch the temp closely.
Oh, and I re-read your post, I would absolutely leave the skin on. Sneak some butter and rub underneath it, but it needs the skin to protect the fragile meat. My 2 cents, anyway.
Oh, and, and, this may get people screaming, but I don't put refrigerator-cold meats into any smoker...even poultry I have at pretty near to room temp. slighty cooler...like bird in ziplock bags filled with brine, in sink with something cold on top of it...ice, bag of frozen peas, etc. Heresy, I know, but I think cold meat is a lot more unpredictable than meat that has settled in nearer to room temp.
And don't even ask how I do my steaks!!