You are obviously free to wrap in paper whenever you want, but in keeping with the "theme" of this thread I do believe Aaron wraps his during the cook, at least that's what he says in one of the videos posted here. I do believe you will like what the paper does for your bark if you wrap at some point during your cook. What's your target temp?
Do you have to refuel your UDS at any point? I wouldn't hesitate to smoke that turkey at 325+, it may help you avoid rubbery skin and shave some time off your cook.