Here’s the conditions report from the White Mountain Ranger Station in Bishop. The group of folks working the visitor center there are top notch. If you’ve ever got any questions on trail conditions, campground closure or openings, roads, etc. they are usually on top of it more than the other Forest Service offices on the Eastside. They also have quite a bit of Sequoia Kings Canyon info as well.
The National Park Service is estimating that the snow line is at 6500 feet and many trails will NOT be snow free until mid to late July and mountain passes until late July to early August!
Looks like this was updated on May 19th from the USFS:
Spring conditions have arrived here on the White Mountain Ranger District and while many campgrounds are still closed due to snow some of the lower elevation campgrounds are open – please see the section below for listing of open campgounds.
All of the backcountry trails are still snowed in – this will be a late opening for the backcountry due to an abundant snowpack and a seemingly endless stream of very late winter-like storms.
The White Mountains Road into the Bristlecone Pine Forest is now open as far as Schulman Grove. It is closed past that point due to snow and saturated roadbed conditions. The only trail at Schulman Grove that is snow-free is the Discovery Trail; Methuselah and the Bristlecone Cabin Trails are still heavily snowed-in. The visitor center is expected to open on Friday May 27th for the Memorial Day weekend.
Roads The Rock Creek road is plowed to the pack station – snow beyond that point. The road to Sabrina Lake is now open but the spur road into North Lake is still closed. The road to South Lake is closed at Parchers Lodge, the road into the Big Pine Canyon is open all the way to the trailheads and the road into the Bristlecone Pine Forest is now open to Schulman Grove.
Camping The campgrounds on the White Mountain Ranger District that are currently open are: In the Bishop Creek area – Bitterbrush, Forks, Four Jeffery, Intake Two, Big Trees; in the Rock Creek area – Tuff, French Camp, Iris Meadow; in the White Mtns. – Grandview Campground; in the Big Pine drainage – upper and lower Sage Flat.
Here’s a link to the Inyo National Forest recreation conditions reports in case you want to refer back to it in the future.