Not sure when you're going, but with such an aggressive itinerary, the option to spend Shabbos there and have more time on the ground would be extremely beneficial. Even if a Chabad is "closed," that just means that they may not be available to host you for meals as in normal years, but many of them will still gladly help you in any way they can, such as providing Shabbos meals that you can eat at your own place (for payment).
If your flights aren't yet set in stone, I'd reach out to Chabad of Jackson, Kalispell, Missoula, and Bozeman with your planned travel dates and what help you're looking for, and hopefully one of them can provide it so that you don't have to be so rushed during your time there.