Just as information, I have a 2001 Monaco Dynasty and I never run my AC system when in storage. I do not want to prematurely wear out expensive components on the roof AC system as I would rather maximize the AC's service life by using it when I really need it during camping.
I have kept my MH's stored in the open with a RV cover and currently I have it under roof cover in the Dallas/Ft Worth, TX area and have never seen any influences of problems either inside or out, including woodwork. Of coarse, I make use of the maxxair vents to help keep air able to circulate inside the RV.
Further, I do not keep any food or perisables in the RV as I do not want to encourage any critters to come into my RV for food of any kind.
Just my thoughts,