It's worth mentioning that the bear boxes at LYV are the oldest ones around, and are very small compared to the ones in the valley. I'd guess they're around 12"h x 14"d x 32"w. They had to be packed up there on the backs of poor horses or mules!
If you're staying in LYV for multiple days, and doing day hikes to various places, there's no reason to do anything with your camp/packs/etc. Just leave them set up. The only things that should be put into the bear box are food and other scented items that you'd otherwise be putting in a bear canister. Everything else, tent, pack, sleeping bag, stove, can just be left out. Well maybe not the stove, I leave my clunker of a stove out, but it doesn't look like much.
What I usually do is empty the pack and all pockets and leave them open so that the bears or whatever can just sniff around and find nothing. I then lean it against a nearby tree. If it might rain I put a large garbage bag over it so it doesn't get wet. The LARGE garbage bags are great things to have on a backpacking trip, always carry a couple of them ( poncho, water protection, garbage, smelly things, stuff bag, pillow, waders to cross a creek in, etc ).
On the other hand don't tempt people, high value items, and anything that might tempt the casual thief should be out of site, either in your tent or covered up. While not unheard of, theft in the back country is quite rare. Thief might be a bit more common in LYV compared to other back country locals due to it being on the Half Dome trail corridor. The average experience,caliber,quality of people passing thru there might be slightly reduced.
LYV is an extreme bear hot spot. Always DOUBLE check your backpack, your hip pack, your tent for any food or scented items. When you return from a days hiking don't just throw your stuff back into the tent, CHECK IT for stuff before throwing it back into the tent. ( said from experence, I have a friend that returned one night and put a hip pack in the tent. She now has a tent with a surgically accurate slash in the fabric in one corner and a shredded hip pack )