Temple fork makes some nice rods for under 100. Finding a good reel for under a hundred is a challenge though.
Favorite fly?
I like the one that catch fish. For winter I would focus on nymphs and streamers. Maybe mostly nymphs cause it works well for me and it is easier than trying to get started catching fish with streamers: my tops for the winter
Palamino midge, mink midge (cant remember the real name), prince and pseudoprince, bead head soft hackle, trusty old copper SJW, green rockworm (Caddis). I guess thats not 10, but thats what I usually fish in the winter and when the water is high during the summer. Fish'em near the bottom, dead drifted with a big fat strike indicator, and some split shot 6inches below the fly. Catch fish, take photo, release, and repeat.