I use 395 quite a lot. Nice road and scenery from Bishop northward.
The CA Highway patrol operate pretty heavily from Bridgeport to the border. They "love to sit at the bottom of downhill runs and pick off people that gain speed going down them. They also use a few unmarked cars, mostly white, although I did spot one dark green pickup and a few 4 wheel SUV types (they have a faint CHP emblem on the door but hard to tell from head on or behind you). A good detector is a godsend out there.
Gas is "ridiculously high" at Bridgeport at their two stations, it may be over $5 per gallon for regular and $6 for diesel. Best fuel stops would be Lone Pine, Independence, or Big Pine which are about half way up the valley. Lee Vining has a nice Texaco with a restaurant (lots of bikes around it too) on the SE corner of 395 and 120 heading to Yosemite.
The climb around Mammoth Lakes summit can get cold, rainy, or snowy. I've hit snow there in June and September.
There was some construction (widening) going on north of Big Pine (?) but it wasn't bad. When you do see a zone and a flagman, watch for the CHP who may be at one end or the other. He pretty much stays with the construction site and looks for people who pass or do something silly. I had one tail me for what seemed forever before he turned around and went back to the site.
RV traffic is minimal now days (Wonder why?). I spoke to one guy gassing up his Coachman travel bus and he was saying it cost him $800 in gas to fill up. He said his consumption in it was $1 per mile (@ 5mpg).
You might want to look out for that greenish-yellow equestrian "smash" (ergo, crap) on the roadway too. Horses always seem to lose a load around that long horseshoe bend area and north above Mono Lake. It can slide you real quick.
The service station access roads south of Lone Pine around Pearsonville are not motorcycle friendly. They have widely spaced cattle guards and you can hang a tire if you don't cross them as perpendicular as needed. You need to shoot out onto 395 and then make your turn on the freeway to go on. There was a raked-out Sportster stuck in one several months ago with a traffic cone near it. Don't know where the rider was.
Roadways into businesses in the Owens Valley can be pretty bad as in dirt and ill-pavement areas. My current fall-down is due to one of those. Sandstorms leave debris all over the place and street cleaning isn't a priority. Oh, wind can be a problem too. I'd check that before you leave. If they say, "No high-profile vehicles" they also mean you.
A nice stop is the 10-15 minute road west of Lone Pine up to the store at the Mt. Whitney Portal. Sort of unreal area with little lakes and tall pine trees wedged between the two cliffs. Others are Convict Lake, and Mammoth Lakes (town for their bakery and sporting goods store). Some (Harleys) like the Virginia City and its back road as a back way into Reno-Sparks area from the eastern Carson City side.
Another "quaint" stop is at the two mega-million dollar brothels about 10 miles east of Reno on I-80. The Wild Horse has a restaurant (reasonably priced too) and bar. The brothel is behind the green door. I think the bartender hits a secret button because you can get swamped with "working girls (ahem!). The World Famous Mustang Ranch is across the parking lot. I'd recommend you leave you wallet, credit cards, and cell phone on the bike (damhik!) and just ask for a facilities tour if they ask (it's free!). Pretty interesting and the rooms are pretty swanky. You can get a souvenir (menu, business card, matchbook, t-shirt, etc.) to have bragging rights - or just plain outright lies - back home.
You should be able to make it in 10-11 hours with short stops. Traffic once past 14/395 junction isn't bad. Some semi traffic but they space out pretty well.
The road into Nevada is ripe with their NV Highway Patrol and Sheriff's. There's all sorts of odd slow-down/speed-trap areas. You'll see signs in front yards saying, "The NHP is watching you!" Again, a detector is your best friend.
Oh, no lane splitting in Nevada. Don't think about it. They get their panties in a bunch and will phone you in. Their rush hour gets bad and you can wait forever it seems. Rooms have gotten a little cheaper now as tourist season isn't so hot from what I've heard. Around "Street Vibrations" in Sept. they get really high and scarce.
Oh heck! I just saw where you're heading south and I wrote it as north bound. Nevermind.