The problem with overwintering in a garage will be light--and possibly air circulation (and probably rodents--especially if the winter is a hard one). If your azalea is deciduous and loses its leaves in the fall, that's great. There's no issue.
However, I've got an imported satsuki variety that is NOT deciduous. It retains some leaves even through the bitterest winter winds--it endured -4 F this past winter several times with only a mulched pot on the ground in the backyard out of the wind. The previous year I had sprung for overwintering space in a cold greenhouse, which worked Very well. I couldn't afford the greenhouse storage last winter though, but I ended up learning how winter hardy my variety of satsuki variety is (Shiro ebisu, by the way, is the variety)
I've had friends try to overwinter satsuki azaleas in their garage here in No. Va. and those (rather expensive imports) developed fatal fungal infections as a result. Darkened conditions, I suspect, weakened the plants and made them susceptible to infections, especially fungal infections which are pretty common in damp garages with limited air circulation.
If this were my plant I would get back in touch with the seller and ask:
What variety it is?
How winter hardy is it?
How they overwintered it?
Whether they have winter boarding if it's not hardy.
Also FWIW, this "style" of satsuki is designed pretty much as a scaffolding to display flowers. To some that's great, to others, it looks strange and they look to a drastic "redesign" to solve a problem that's not really a problem.
If I were you, I'd hold off at least two years on this before doing anything. It is very weak and is dropping lower limbs. That needs to be addressed. There are specific care regimens for satsuki that can help out. Get the Stone Lantern Azalea book for some of that. It's definitely worth the $ and should be required reading if you're a new satsuki owner.
http://www.stonelantern.com/Satsuki_Azaleas_for_bonsai_tree_and_azalea_lovers_p/b1sat.htm