The Fall River is a great spot for a walk and wade trip and always a good place to find fish. RS2 emergers continue to be an impressive fish catcher of late, so make sure they are in the box alongside KD Duns ( I call them a one wing wonder) in both olive and yellow to match BWO’s and PMD’s. 
Throw a couple of drakes in because it is quite possible to run into an afternoon hatch of green drakes on the Fall River in June, add hippie stompers, ants, beetles, olive caddis (with hemingways and elk hair caddis my own favorites there) and make sure you have 6x and 7x tippet for your small dries, 5x for the drakes and if you skitter the hippie stompers. 
Some of the best fishing has been coming on nymphs, especially eggs, mops, perdigons, frenchies and slum lords. 
True streamer techniques will be a fin way to explore the river in a different way, and while you don’t need a sink tip, it is a helpful tool for the streamer game.