PG,
Your plan is interesting, but it is something I would advise against at this time. The simple fact being that you are new to this and you are setting yourself up for a serious disappointment.
From central Va to Old Faithful is a five day hard push. That is an endurance test that is not a good way to do much. An 8 hour driving day is a LONG DAY. Yes, truckers do 550 all the time, but they have to do that to make money. They also do not enjoy the country that they drive through.
Now, you have the coach. If you plan to keep it a while, blow off the nearby stuff - Like the falls. That is a good trip for a 3 day weekend. Drive, See the Falls (takes an hour if you have lunch there), Drive home.
Start now. Go to AAA and get a USA map and all the guide books you can. Start plotting points and then "Follow the Dots".
I would have to guess that you also have a lot to learn about planning and navigation. That is something best learned close to home. When you get it figured out and are comfortable with it, then go wandering. As a person that lives in or near the Megopolis of the east coast, you may not understand that there are vast expanses of this country that are bereft of services. Stops and particularly fuel and End of Day need to be thought about.
Do you have a GPS and know all about how to use it? Do you have a Walmart Street Atlas? Don't even think of leaving home without at least those two.
Want to know more, start with a new plan and come back here.
Matt