Moose Mountain has a road that's about 5-6 km up the eastern slope, accessed from Highway 66. There are three or four leases in the area for Husky, Shell, Petro-Canada (Suncor now I suppose) and Imperial Oil. It's maybe one-and-a-half lanes wide for most of its run. They recommend against winter travel, and/or have a gate (not sure if/when it gets closed, hasn't been for a while). I can get up there in my Subaru and in a fire truck. When the road reaches its northernmost point, there is a small parking lot and a hiking trail that allows access further up the mountain - the road loops back south again to another lease and IIRC the forestry tower and the radio site, about 1 more km up. My family hiked to the summit about 15 years ago when the forestry tower was still in operation.
My commute is 74 km door-to-door and takes about 50-55 minutes in clear weather with no traffic. Tonight, with a bit of flurries and some blowing snow, and typical drivers, it took 100 minutes, more than 50% of which was over a few km's on the Deerfoot and into NE Calgary.