I believe, depending on what your permit reads, you’ll either be required to stay at Little Yosemite Valley, OR you’ll be required to camp past (east of) the Half Dome trail junction. They each have quotas. Each area has advantages.
Little Yosemite has decent toilets, the rangers make an effort to discourage bears from the area, and it’s a good moderate altitude to spend a first night at. You can have a slow or late first day, and then hit Half Dome first thing in the morning and move on from there. Downside is there’s lots of people.
East of the Half Dome junction is slightly more wildernessy, and allows you to either see sunset or sunrise from Half Dome, since it’s a little closer. Downside is that at least last summer this was a very bad bear area.
If we’re reading you wrong, and you are going NORTHbound (you’re heading from Whitney to Yosemite Valley), then Sunrise would i think be still your best idea. It’s a really pretty area, and you’ll probably be in good shape to do the whole hike to the Valley plus Half Dome in one reasonable day. It’s mostly downhill, and the Half Dome part you don’t even have to take your pack.
markv