We live somewhat close (east bay, somewhat near the Delta). Typically when we head out that direction, we'll leave later in the day just to get out of California and stop in Verdi NV. Sometimes we stop at the Cabella's in Verdi and spend the night. There will be other RV's, campers, trailers, big rigs in the lot. In the morning, we'll take it easy, walk the dogs, buy some fudge, maybe other treats, then gas up. Last year, instead of making a long drive the 2nd day, we stopped in Elko at Iron Horse RV Park. This wasn't our first time staying at this location but it was our first time on the drive out. They also have a few small cottages but why spend the money if you already have an trailer or RV. The park is quiet and clean. It's not a far drive from Verdi, which gives you a lot of extra daylight to get back into the camping routine. If you forgot something, there are plenty of stores still open and worst case, you can order take out or go to a restaurant if you don't yet want to pull out the camp stove.
The following day, we attempted to get to American Falls, which isn't too far from Elko NV, for Sunday Mass but forgot about the time change. So instead of arriving 20- 30 minutes early, we were late. LOL. So, we walked the park and then drove to Jackson, via Teton Pass. I was pulling a long but lightweight 5th wheel so driving the pass wasn't a big deal. But, I wouldn't attempt it with Prius and a small trailer. BTW, there is camping close by to American Falls, ID (about 5 minutes away near the water).
From what I hear, people have good luck getting a campsite at Gros Ventre Campground. This year, we plan to drive out a few days early hoping to get a spot at this campground. I'm not too worried because we going late in the season.
FWIW, our preferred route when heading east still starts from in Verdi, but then we take 50 across Neveda towards Delta, Utah. Delta has the most amazing city park. It's small but beautiful. From there, we make our way to 70 and stop at Green River State Park (Utah). The bonus is that there is a fun coffee shop in town (Green River Coffee). Obviously, this is way out of the way if you are going to Yellowstone. But, it's a great route to Colorado.
The dodge fan boys hate the dodge/ram dealerships. Now that I have owned a Mexican Fiat Oui-Oui, I understand why.