Scatman's loop seems like probably the best way to get the highlights of the Gros Ventre. But, if like me, you need to traverse from West to East (or vice versa) in a semi-efficient way - the updated route I'm linking in this comment seems to be pretty good. It goes by turquoise lake, granite creek, and shoal lake, then an off-trail high route in the eastern portion. I'll try and remember to post some pics to this thread after I do the route this summer.
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I'm a little late to the game on this thread, but I hiked nearly this exact route in 2018 on my CDT thru hike. It's a pretty beautiful area. Tosi Creek offers some decent game trails/light foot trails to follow, but in the upper basin, these disappear as the terrain turns to rock. We took an off-trail pass, north of Hodges Peak, towards Doubletop Peak. Sharp rocks, some snow patches in August, slow going, but beautiful. West of Doubletop Peak, you'll come across a ridge with a steep wall on the west side that you'll be looking for a way down. I found the notch just west of peak 10750' to be our way down, about a 60ft climb. It's easier than it looks, but not class 2 by any means. Solid class 3. Very doable, just take your time. The slope below the climb itself was the "fun" part, we slid on our butts down, mostly. We continued off-trail towards Palmer Peak, staying east of the ridge. Again, really nice area. Lots of wildflowers, cool peaks and rock formations, and no trails. Pretty easy going for off-trail, though. North of Steamboat Peak, we dropped down to Shoal Lake. The Shoal Creek drainage is AWESOME. Really impressive views here. After being off trail, the trails here are pretty good. There is excellent camping opportunities in the Shoal Creek area. The hike from Deer Ridge to Granite Creek campground is not as interesting, but good trail, so it's fast hiking.
From the Granite Creek CG, you have two options.... the Granite Highline Trail or Granite Creek. Naturally, anything with "highline" in it sounds good. However, I have heard that this trail is not that great. There is practically no camp spots from what I have heard. Instead, we opted for Granite Creek to Cache Creek. Granite Creek is a pretty nice hike on it's own, and I doubt you will be that disappointed in skipping the Granite Highline Trail. Good trail here, easy to follow. Cache Creek, the upper parts are nice, but there is a lot more traffic the closer you get to Jackson. We camped in lower Cache Creek the night before walking through Jackson to resupply, but there were not many campsite options. If I could camp anywhere along this route, I would camp in upper Tosi Creek, Shoal Creek, and upper Granite Creek.
I have pictures and a write up on this route here, if you're interested:
https://seekinglost.com/dubois-to-jackson-cdt-thru-hike-2018/
Hope this helps the next Gros Ventre hiker.