Elkmont just past the campground can be nice if you hike a little past the old cottages. Also, Abram's Creek in the Cade's Cove area can be nice. Again, hike a little ways past the parking, touristy area. It should also be noted that Trout Fest is happening in May in Townsend, TN. A great fly shop is Little River Outfitters in Townsend and they have a nice web site.

Enjoy your trip.

Bob