A route I had suggested to me by Jamawani. From Taos, NM to Rock Springs, WY (image is below, here is the link to the ridewithgps map and access to gpx download.
https://ridewithgps.com/routes/28303915). Then from Rock Springs take US 191 north to Pinedale and Jackson. I had asked about this since a friend and I this summer will be doing Twin Cities to St Louis to Taos to Yellowstone to Twin Cities.