Hello and welcome to the RTA forums !
A lot will depend on how long you plan on staying at the places you visit but your trip is certainly doable. To put it into perspective you have an estimate of 7 day's drive, driving for 9 hours for each of those day's leaving you the other 7 day's to take a look around. Of course you can split your time how you want to but we don't recommend driving for much more than 10 hours in a day [550-600 miles] as it becomes tiresome and workman like thus taking the pleasure away somewhat. If your time includes a little time at either end of your trip, say 2 day's at each then all of a sudden you only have 3/4 days down time and it's these factors you will need to consider before deciding whether it is your "unforgettable fantasy" !