Your coach is of the same vintage as mine and made by the same manufacturer, so my thoughts are probably pretty accurate.
My coach measures 11' 11" fully aired up and ready to roll on the road. The door on my garage is 12' exactly. I always lower the ride height by pushing the air dump switch before driving underneath that door header.
Your coach probably measures about the same, excluding the Winegard.
I do not have a satellite on the roof for height reasons. I would investigate how to replace that Winegard with something else of lower height, or something that can be used mobile as you need it. Either that or get the carpenter to modify the garage.
Jim & Kate
2016 Creekside 23RKS, 2014 Ram 1500 Eco Diesel
1995 Monaco Dynasty 36', 2005 Honda Pilot