You might consider going out of Mono Meadows(the trailhead on the road to Glacier Pt.)
poke around the country around Mt. Starr King, further,with more off trail up the Clark fork drainage towards Mt. Clark, or even further,on trail-17 mi. or so one way to Ottoway Lk. All are beautiful destinations, very suited for those who move fast and light.
This is lonely country,mostly below 10,000 feet, suited to late season travel. It's also largely below timberline, so more protection for tarp travel if you get some snow or other nasty weather.
I would use this trip as an opportunity to test your tarp skills. Depends on your comfort level. It is, of course, no fun if bad weather sets in for the duration of your trip. You can't beat a tent for comfort under those circumstances. So, puts your monies down and takes your chances.