I have not yet written the Yosemite National Parks permit page. But I will offer some advice.
(The advice below is still good...)
Walk into Yosemite. Don't even mess with getting permits there if you don't have reservations by the advent of Summer.
Want to hike the JMT? Start at Sonora Pass. Drop down to the Valley backwards on the JMT once you arrive at Tuolumne Meadows, then reaccquire the JMT in Lyell Canyon via Voglesang.
Yosemite Permit Problems Solved.
Yes, I know that may not solve your permit problem. But it is a start.
Topographic Map Information
Emigrant Lake, Calif, provisional, 1990, USGS 7.5 minute Topographic
Tower Peak Calif, provisional, 1990, USGS 7.5 minute Topographic
TILLTILL Mountain, Calif, provisional,1990, USGS 7.5 minute Topographic
Piute Mountain Calif, provisional, 1990, USGS 7.5 minute Topographic
Magnetic North is 15 degrees, 30 seconds East of True North for the West maps.
Declination is 15 degrees for the East maps.
Backpacking permitting authority
Wilderness Area: Yosemite
Physical location: South of Highway 108, North of Highway 120.