I recommend Balloon Dome instead. No lottery. No other cars at the trailhead. Think of going rim to rim at Yosmite, add a few thousand feet, PLUS climbing a dome considerably bigger than Half Dome. Bring your own cable. Other than that, about the same thing. Or if you'd like a bit
more casual hike, there's always Tehipite Dome down on the Kings,
with 52 miles round trip plus an even taller dome to climb. No lottery there either.