I'm starting to get serious about plotting my days in these parks. We won't have a lot of time in the Grand Tetons so I'll likely only have one full day to hike somewhere spectacular into the back country of that park. I've been asking other people online about possibilities of hitting some peaks, but most of them are either beyond my skill level or beyond a full day's hike. So I'm pretty sure I'm going to hike to Amphitheater Lake and Surprise Lake and do some scrambling on the heights above them as far as I feel comfortable with slopes and time.
There are some peaks that I could summit there without technical climbing skills, but these all seem to involve at least two days to do. So I'm almost positive I'm going to settle on this hike. Of course things could change before I head out to Wyoming.