Hello and welcome to the RTA forums !

Well your trip is certainly doable and if that's the route you have chosen then go for it !
We generally recommend covering not much more than 500-550 miles a day on multi day trips which will put you on the road for 9-10 hours with short stops for food,gas and a stretch of the legs which equates to 5-6 days of driving. This won't leave a whole lot of time for sight seeing and you have a couple of long days in there but it should work.