The Teton River can have good dry drop fishing this time of year using hopper and chubby patterns as the top fly with the cutthroat more willing to look up than a ranch rainbow. Fishing attractor chubbies like the royal or purple are great selections for top flies. If the fish are picky or refusing the chubby, I would look to tie on a more realistic terrestrial in a More or Less hopper or a Thunder thighs. For nymphs I would have plenty of bullet quilland perdigon style bugs in olive, yellow, and orange colors.