Not a go/no-go but recognize that what you are "paying for" (electricity) is affected by the difference in temperature between the cold and warm room. However you choose to do it, you'll want to keep the garage as cool as reasonably possible. One option would be to use the AC to dump the heat from the shop into the garage and then use a good-sized exhaust fan to keep the garage as close to outside temperature as possible.

Just my $0.02.. YMMV.

Jim