Sounds like a plan to me. Instead of wrapping & resting how about loosely tenting it & resting? If you wrap it the skin will lose it's crispiness.
Lang 36 patio
18.5" Weber Smokey Mountain
22.5" Weber OTG with Cajun Bandit Conversion Kit
Char-Griller Akorn with side cart
1999 Weber Master-Touch - bent but not broken
14.5" Weber Smokey Joe Silver