The back country road maps that you can buy are for the forestry trunk roads, gravel highways, stuff like that, 4x4 trails you pick up the maps at the trail head or download from esrd website. For a Sunday drive, you could try highway 66 and up and over the gravel road, or highway 40 (highwood pass) both of them are seasonal roads and shut down for the winter. Follow the road up pass the Nordic Center in Canmore, it will put you out on highway 40 around K country, Or get in on the stocker run on the 23, and watch for other open runs.
It hard to give option on what is good for people, as everybody opinion of what is a easy trail, light 4x4, is different. I've been bored on some runs, and the guy behind/in front of me is having a great time, as it's his idea of 4x4, and vis versa.