You're buying directly from CruiseAmerica, right? I don't think an inspector is quite so necessary in that case, at least from what I've heard; they're generally pretty good at making sure at least the basics are good to go. (They have practice doing that for vehicles still in their rental fleet, after all).
Your list of tools is perhaps more comprehensive than I took with my older motorhome to Alaska and back (from Vermont). The only tools I needed to buy on the way on that trip were a drill and a hacksaw...and even those I did not in any way actually require to comfortably finish the trip.
You will sooner or later need a #2 square (Robertson) screwdriver. Get a decent one, maybe even a better than Harbor Freight one. You'll be using it a lot. My list for the initial trip would be something like this screwdriver, a roll of Gorilla tape, a tire gauge, a flashlight, and the Swiss Army Knife that is always in my pocket. If you don't get one with the RV, a fresh (potable) water hose and a sewer dump hose kit would be good to bring.
If you have a decent breaker bar and appropriate sockets, you don't need a separate lug wrench. Also make sure that any inflator you get will suffice for the tires and their pressure; many of them will take a very very long time to bring a LT tire up to 80 psi, especially given their rated duty cycle. For just adding a couple of pounds they might do a bit better, but if only down a couple pounds I'm not sure it's worth too much worry anyhow. There are some much better 12V compressors available...for a cost.
