I realize you're already on your trip, but wanted to offer some suggestions. I would remain on paved roads thru NV for this trip, but future trips would definitely recommend going off-pavement (get away from the crowd). There are innumerable places to see in NV/CA.
If deciding to visit Pyramid Lake, here's a breakdown of costs -
https://pyramidlake.us/permits
Overnight camping is $16, and here's a map showing the various beach names -
https://pyramidlake.us/wp-content/up...ClosureMap.pdf
If visiting, make sure to follow the tribe rules...
Based upon the original map, if traveling:
I-80 - Lamoille Canyon (south of Elko about 1/2 hour), Jarbidge (north of Elko a couple hours), Pyramid Lake (north of reno about 1 hour), Lake Tahoe (sw of reno about 1 hour), Truckee, Lava Beds, Gold Bluff.
Here's a map with the proposed I-80 route ~18.5 hours per google maps:
https://www.google.com/maps/dir/Salt...b1!3b1!3e0!4e1
US 50 - Wheeler Peak/Great Basin NP/Lehman caves, Tonopah, Lee Vining/Mono Lake, South Lake Tahoe, Truckee, Lava Beds, Gold Bluff
Here's a map with the proposed southerly route ~21hours per google maps:
https://www.google.com/maps/dir/Salt...41.3965108!3e0