North Ridge, most likely. Folks who do the SW Coulior (or any route on the Middle) do come down the North Ridge if they have a need to get to the Lower Saddle, rather than a LOOOONG hike down the south fork of Garnet Canyon, to the Meadows, then all the way back up to the saddle.
With scouts? Yikes. Makes me wonder why...not that there's any shortage of neat things to do in the Tetons, but, that's a nutty one.
I know folks who down climb that terrain, sometimes with a short rappel or two. Kinda complicated, kinda not. Might be easier route finding coming down, although the time I climbed up the North Ridge it was fairly straightforward. We only roped one pitch near the top, where we wanted to do the harder, steeper bit (5.6ish). Seems like there's a way to scramble around that section. Very exposed and a fall off rope would be fatal in a bunch of places.
Ahhh, the Middle. Great chunk of terrain. I think I've done 6 different routes on it...certainly a favorite. Really need to do (finish) the Glacier Route. Maybe weekend of 19/20 June? Haven't got a potential "victim" yet...
Pretty amazing what folks do with scouts. Some good, some fairly risky. Some luck, some saavy. Hard to know which.