San juans in red and pink, I use 12-16's. Thats my only recommendation. All others seem to be a day-to-day basis, but san juans always slay on the rivers around here.
For the yellowstone, definitely some big streamers. There are some monster fish in the yellowstone around livingston and one of my friends who guides it is always trying to get me to switch to big fat hairy streamers.
Check troutfitters.com 1-2 weeks before you leave for a fishing report and a fly recommendation, just keep in mind that they want to sell the flies, so they always list tons of different flies and sizes. They are an outfit out of Bozeman that I definitely recommend you stop by while you are around.
Also, for around that time I would always pack some hoppers with me. I am told that a parachute madame x will hook more fish than a gillnet some days on the yellowstone and the madison.