We've towed those roads from West Yellowstone to Glacier and checking Mapquest shows it to be about 9 hours. If it were us, we could do it in one day, by leaving by 6am and heading out, with plenty of stops. From West Yellowstone, take either 191 or 287 to 90 to Missoula and 93 north to Kalispell then why 2 around the southern end of the park to St. Mary. or West Yellowstone to 90 take 15 from Butte to Great Falls to Shelby then Hwy 2 west to Cut Bank and Browning which calculates at 10 hours. Again, we could do it, by trading off driving, but you may want to stop. All of those are good roads. As for a stop in between, I couldn't suggest anything since we've not stayed overnight, but you could check Good Sam's trip planner for suggesting if you're a member or campground reviews. Enjoy your trip.
2011 Bighorn 3055RL, 2011 F350 DRW 6.7L 4x4 Diesel Lariat and Hensley TrailerSaver BD3, 1992 Jeep ZJ and 1978 Coleman Concord Pop-Up for remote camping
Dave & Renee plus (Champ, Molly, Paris, Missy, and Maggie in spirit), Mica, Mabel, and Melton