You can ride S Virginia/old 395 from Reno, over Ebbetts/Pacific Grade on Hwy 4, back over Sonora Pass on Hwy 108 and it will line you up for Tioga on Hwy 120. As I recall Hwy 4 didn't have much of a shoulder approaching Calaveras Big Trees State Park. Be aware that the west side of Sonora has a bit at a 26% grade, the east has a 23% bit. An advantage of doing Sonora loaded is your front wheel will stay on the ground! Sonora Pass is exceptionally beautiful. The Carson Pass, Ebbets Pass and Monitor Pass area is home to the Death Ride.
Alternatively you could join the Sierra Cascades at Woodfords, and climb over Monitor Pass to get back to 395. Or you could skip all these bonus climbs and just stay on 395 until Hwy 120.
If you are up for the climbing and have the time I would highly recommend the Ebbetts/Sonora variation.