Opryland Hotel and Grand Ole Opry in Nashville are both still closed.
If it were me I'd come down I-81 through the Shenandoah Valley, pretty interstate road, watch for cops. Then I'd head into the TN/NC mtns. Blue Ridge Parkway is a good one if you like scenic roads, its not real fast though. Biltomre is cool if you have never seen it. Lots of great roads even if you skip over the Dragon, which was recently closed, see below...I wouldn't do the Dragon in the summer anyways, too many bikes, and other traffic out and about.
ROCK SLIDE UPDATE June 3, 2010: The rock slide on US 129 is located between the Dragon and Happy Valley Road/Foothills Parkway. TDOT has announced in a press release that the 11 mile section known as the Tail of the Dragon will be open from 8 am to 8 pm. The only access is from North Carolina US 129. THP announced that there will be zero tolerance for traffic violations, so I'd travel the Tail with extreme caution. Please obey the traffic laws and report any undue harassment to us. We will forward all complaints to the Tennessee and North Carolina senators and representatives who worked so hard to get the road open. We will continue to post the latest information here so keep in touch.