And that Rock City thing......
Hello Sabina,
It seems your reference to Rock City was a euphimism, but in the event you're serious about it, it's well west of even the western swing-out so aptly described by AZBuck. The views, stops, caverns, etc along the Blue Ridge Parkway and Skyline Drive are superior in the eyes of most, though the kitsch is absent. Then again, stopping at the NC/SC line at South of the Border will give you a "heaping helping" of that. SOB is a fun place, honestly.
Oh, and if you do run up I-77 to southwest VA to catch the Parkway, and if you pass by Mount Airy, NC in the lunchtime timeframe, by all means go into town and eat at Snappy Lunch. Mount Airy is the true-to-life hometown of Andy Griffith (depicted as Mayberry's bustling neighbor community of "Mount Pilot"). Snappy Lunch is the diner depicted in the show. Snappy Lunch serves fried pork chop sandwiches which are to die for (or from--if you eat too many of them). Gotta get there early--when the day's supply of pork chops has been served, Snappy Lunch closes for the day, even if it's just a little past noon!
Have a safe and enjoyable trip!
Foy