Your original plan reads like a an outline of a movie about a RV vacation from Hell. If you had some past experience touring with an RV full of kids the number of activities and places to visit would be much smaller with provisions for just relaxing and enjoying camping activities between driving days. Plan on stopping every 100 miles or so for everybody to take a break. Kids need to run around, you and wife need to rest up from harsh ride and road noise of RV driving, eat lunch, etc. Make sure that the RV has good quality tires that are nearly new and properly inflated and that the engine cooling system, brakes, suspension and steering are in good shape. The generator should start easily and be able to run the roof AC and microwave at the same time. The awning should be in good shape and easy to operate.The fridge should operate properly in both propane and electric modes. The house batteries should charge properly from the converter/charger when plugged into shore power. All batteries should be in newish/good condition. The roof AC and dash AC should both blow cold air. The furnace and roof AC should operate properly from the thermostat control. There are specific procedures for operating the RV generator, water heater, fridge, roof AC unit and awning that you need to know before leaving. A practice run to a local RV park is a good idea to discover and correct problems before you take off on the big adventure.
