Los Angeles to Philadelphia in 10 days

Ok the current plan is to go from Los Angeles to Philadelphia in 10 days.

We are going to fly from Philly to LA and then drive back over the fourth of July

The route I have us taking

LA to Vegas
Vegas to Phoenix (Visiting with a friend)
Phoenix to El Paso
El Paso to Austin
Austin to New Orleans
New Orleans to Memphis
Memphis to Somewhere in Virginia
Virginia to Philadelphia

Can this be done in 10 days??

Will we wish that Texas was a much smaller state??

Is there anything Cool between Graceland and Virginia that is worth stopping for?