If it were me, this is what I would bring (in order for each type nymph, dry, streamer):

1. PT's size 16-20, in natural and black
2. Black Midges size 18-22
3. San Juan Worms size 16, Red
4. Yellow Sally / Golden Stone size 12-18
5. RS2 size 16-20, tan, brown, black, grey, olive, and even red
6. Elk Hair Caddis size 14-18, yellow and orange body (reverse tied might be a good idea)
7. Terrestrials size 12-14, maybe some 10 (Hoppers, beetles, crickets, ants)
8. Pale Morning Dun size 16-20
8. Parachute Adams size 14-18
9. BWO size 16-20
10. Silver tungsten bead-head Wolly Buggers size 10-16, black/olive or brown/olive

I would also consider Copper Johns, WD40's, Drakes, Tricos, and maybe even Salmonflies, but if I were to pick 10, that's my list.