I suppose it depends mostly on your physical condition, and what you define as 'essentials' that you'll also be carrying. My usual walkaround gear is a 1D X and some lenses, along with an RRS TQC-14 + BH-30 LR (about 1 lb lighter and 2" shorter than your TVC-24 + head). I'd definitely suggest bringing a tripod if you plan on shooting waterfalls with ND filters or at blue hour (bring a flashlight to hike back afterward!).
In fact, I'm currently planning and considering what gear to take on a brief excursion to that area (very brief - just one afternoon/evening) in mid-April. I'm flying into Zürich, and I'll likely take the train from there to Lauterbrunnen, leaving my luggage in a locker at the Interlaken Ost station. Still working out where I'll go specifically, waterfalls and walk along the valley, gondola/funicular up to one of the alpine villages, etc., while getting back to Interlaken in time for a late train out.
Given the scenery in the region, I'm planning on bringing the 24-70 II and 70-300L, and the 11-24L assuming I've bought one by then. Given the geography (waterfalls and mountain peaks), I'll want a telezoom. Still debating the TS-E 17/24 lenses (they're going on the trip, but I may leave them in the luggage locker for the excursion around Lauterbrunnen). Other essentials for me would be a couple of snacks and a bottle of water, and possibly a change of clothes (I've read that one can get rather wet at the Trümmelbach waterfalls, which are inside a mountain).
I believe that the right pack is a key element - one that holds everything you need without excess space. My normal 'business travel' pack is a Lowepro DSLR Video Fastpack 250AW, holds 1D X, three lenses, and M+11-22 with space for my laptops on the plane (personal 17" MBPro and work 13" MBAir), and space for personal items or another 1-2 lenses (in Lens Cases). Tripod straps to the outside. For this trip, though, I may bring the Flipside 400 AW which will hold the full kit including TS-E lenses with space for a change of clothes, and the comfortable hip belt will take most of the weight while hiking.
