Looks like you've really got some nice options available to you Jeff ... noise from the a/c getting into the room may be an issue possibly.
It's actually the master bedroom closet and it's 18' x 5.5/8.5 foot at the widest... Not to worried about sound transmission. Its why I put the rack in there. But it's also available thru the laundry room from the house, so it just works. Easy access and no sound/visual concerns