Drive to Santa Fe then north on highway 285. The highway will merge west with Highway 160 past Alamosa then goes north again. At Saguache, take highway 114. This is a winding but beautiful road. A couple of hills but nothing too severe. Even I can drive it. It ill lead you to Highway 50 and into Gunnison, always worth a stop. Then you will travel west on highway 50 and swing to Lake City south on highway 149.
Yes, indeed, this is a good route. We take it when we wish to stop by Santa Fe on the way back from Colorado. 114 is a long gradual climb up to the pass from Saguache. The beautiful and winding part is coming down from the pass toward Gunnison.
This might be an even better route than the one I suggested earlier (via Gardner and Westcliffe,) but I have never found Monarch to be a difficult pass. It is a serious pass, but there are enough lanes to allow passing at appropriate places.
EDIT to add. We usually enjoy staying at the summit of Raton Pass at the Cedar Rail Campground. There are several good places to stay in Gunnison if you wish to stop by there.