This is a pretty comprehensive list of roads and passes and their current status throughout the eastern Sierra as of June 02, 2017:
http://mammothtimes.com/content/latest-updates-whats-open-and-whats-closed
Here's part of the report pertaining to the Lone Pine area:
Near Lone Pine:
Roads open: Foothill Rd., Division Creek Rd., Haiwee Canyon Rd., Mazourka Canyon Rd., Movie Rd., Sage Flat Rd., Onion Valley Rd., Whitney Portal Rd, Horseshoe Meadow Rd. to USFS gate.
Road Closed: Horseshoe Meadow Rd. after the USFS gate.