Medicine Bow is a cool area but I would not put it on a par with the Sawtooth area.
Only been to the Sawtooths once and loved it. Been to the Medicine Bows many times and love it as well. I did a page on the range on another site that may shed some light on it for you if you're not familiar with it. https://www.summitpost.org/medicine-bow-mountains/616371
Northern Colorado will certainly been within reach, the Winds and the Bighorns will take you at least 3-1/2 to 4 hours to reach, with the Tetons a bit farther out.