Are you planning to do all the driving yourself, Parts?
What is the longest drive you have ever made before and how many hours a day were you able to drive then?
I think that your route sounds reasonable, but if you drive ten hours a day it will take about four days to drive that distance, so I think you might want to plan for five days to drive it just in case, if it's going to be just you doing the driving and you aren't going to be travelling with kids.
I think Scrapheap's estimate about the maximum distance you would want to drive per day sounds about right, somewhere around 600 and 700 miles.