spend one year traveling and playing with a band, which instrument, which band and why?
I'd choose Flogging Molly.
Playing acoustic guitar, mandolin, or banjo.
By far my favorite all around band. The combination of instruments, "dark" lyrics, and uplifting melodies is some of the most inspiring music I listen to. In addition to the diverse band members like a punk rock bass player in his twenties, to a former skateboarder turned accordion player, to a singer/songwriter nearing 50, I feel like I could learn a ton spending time with a group of people like that.
Not only would the music be a lot of fun to play, there would obviously be a wonderfully overwhelming amount of drinking going on.
note: there maybe a difference in your favorite band and the band you would like to play with for a year. my favorite band is definitely NOT going to be at the top of my list, but they would be close.