Sure fire brookie waters are the upper ranges of the West Prong of the Little Pigeon River up 441 towards Newfound Gap. At the Chimney Tops trailhead, the river splits into Walker Camp Prong that continues up along the road and through the Alumn Cave Trailhead to Mt. Leconte and above and Road Prong which follows the Chimney Tops trail for a while before taking off up the mountain. Both of these branches are lively brookie waters.
As to flies, Parachute Adams #16 (regular now and in the fall and yellow during the summer) and yellow stimulators are good bets. The water is probably a little cool up that way at this point but should be warming up within the next few weeks.
Other folks have their own favorite brookie waters and can chime in.
His eye is on the sparrow and I know He watches me.