Fun fact: near Wytheville there's a stretch of Interstate that combines I-77 and I-81. It's a wrong-way concurrency, with I-81N and I-77S and vice versa. In fact it's a double wrong-way concurrency because it's also considered to have two US highways.
Some location stats...
Interstates: I-77, I-81
US highways: US-11, US-52
(Concurrency of the 4).
Nearest Superchargers and Diversion:
I-77:
S: Charlotte, NC (Open). 132 miles
N: None. 378 miles from the end (Cleveland)
Diversion: 1 mile.
I-81:
S: None. 149 miles form the start (Dandridge)
N: Lexingon, VA (Permit). 109 miles
Diversion: <1 mile