I throw smoke to it the whole time. I'm using mostly wood coals for fuel in my charcoal smokers, so I have smoke going the whole time. I don't think I have over-smoked anything. I love a lot of smoke flavor as does most everyone else in my family.
I did a smoke this weekend and everything came out great except the eye of round, The butt was excellent. But, the round I over cooked because my wife won't eat anything that's still mooing. I tried to tell her that every cut of meat is different and should be cooked/smoked to a different temp to obtain the desired results. It tasted good, but a little over-cooked for my taste. I'm pulling the next one at 140° instead of 150°. She has never had Prime Rib, so I guess I had better put that on the wish list. Or, maybe take her out for some before I invest in that expensive cut of meat.