Welcome Cyndie and Gary and many safe trips in your new 3750.
Visiting the Biltmore is a great place to spend most of a nice day. You can tour the home and gardens and have lunch there in what used to be a horse stable. No joke. If you are a AAA member you can get reduced ticket prices.
If time permits visit Mt Pisgah (pizga) and have lunch there viewing the Smokies and Blue Ridge. Not a long trip from the Asheville area. It's called the
Mt Pisgah Inn. Food is average, views are outstanding. It's on the Blue Ridge Parkway close to Asheville.
Mt Mitchell (over 6000 ft elevation) is another scenic visit nearby.
Depending on your length of stay, other day trips could be Cherokee (Casino), Gatlinburg TN or Pigeon Forge TN.
Enjoy your first Montana trip.