With careful reading of guidebooks and time spent farting around on Google Earth, I had pieced together several multi-day traverse ideas around the Grand Teton that could allow us to minimize the effort needed to link up various climbs in the area in one trip. The largest linkup I had dreamed up was to traverse from our base camp at the Lower Saddle over to Valhalla Canyon. There we could gain the Grandstand via the classic Serendipity Arete on Mt. Owen and a traverse from that summit (although one could directly climb the Grandstand from Valhalla Canyon). The Grandstand would serve as our launching point for climbing our main objective of the carryover - the North Ridge of the Grand Teton, from which we could then return to our remaining gear cache at the Lower Saddle.
The Valhalla Traverse was the key to us achieving this ambitious linkup as we could make a complete loop from the Lower Saddle without any need to hike back out. It was a wonderful idea, but it was also ambitious. We had originally planned to do the Valhalla Traverse the same day as the Complete Exum Ridge (the guidebook said we only needed 3-4 hrs to do the traverse), then climb Serendipity Arete to the Grandstand in a long day, and then finish climbing over the North Ridge. This would mean we would spend 2.5 days and 2 nights doing the linkup.
However, conditions on the Exum slowed us up enough that we decided not to tempt fate with the Valhalla Traverse that day, so we left an entire day for it, on the worst weather day forecast for our trip. Since I was wary about any additional weather slowing us up, we decided to pack for 4 full days and 3 nights' worth of food and fuel just in case we were delayed a day. It was good we did this, since the storms on our first day, combined with the cold and windy weather on the days after made us take 4 days to do the linkup instead of 2.5!
For the record, it took us about 3 hours to do the traverse from the Lower Saddle to the West Gunsight Couloir. This traverse might be done faster with lighter packs, though it often might be slower as there is normally more snow and ice on the route. The Teton NPS maintains a good web blog on route conditions in the area, and they often include conditions on this traverse.