There are RV parks along that route, but they are pretty bare bones. There are several federal and state campgrounds (and of course boondocking) if you don't need hookups. There is a wonderful steam railroad museum in Ely, NV. Great Basin National park is also on that route and has a beautiful campground and an amazing cave tour. Time permitting, you could also consider taking Hwy 24 through Capital Reef instead of I70. Torrey, UT has some nice RV parks and if you enjoy hiking, Capital Reef is hard to beat.
DanNJanice is right on. It is a lonely road with spotty cell service. But it's good surface and mostly flat. With a new truck and a 61 gallon tank I would not hesitate.