I may be mistaken that Indy's shot was from Two Oceans, but "screenshot 44" looks a lot like the last climb you have to make to get to the overlook. Two Oceans is down by the pass (south side of it). Sleeping Indian is actually down by the "hole" or valley, about 8-10 miles east of the airport. On a day with good visibility, you can see it off to the east as you are coming/going from the airport. Also called Sheep Mountain. I doubt that you can ride to it from the lodge, as it is about 3 times further away than Carmichael and Carmichael is a haul to get to! Skiroule, it looks like your shot might have been taken from the overlook at Carmichael, as it is much closer to the Tetons.
Here is my shot from the "top" of Two Oceans.
View attachment 49636
I say "top" as you cannot get to the true top without a serious and probably professional climb, but you are just south of it by a few hundred feet. From where my shot was taken, you could see the Tetons, they just did not make it into the photo and are to the left a bit.
-John