I have a feeling that a lot of answers you'll get will hinge on people's loyalty towards one particular brand, but anyway ...
- As someone who did DCI/DCA for many years as a euph/contra player, I usually stuck with Adidas, specifically anything that uses their "Bounce" style of outsoles, which are pretty much solid rubber and non-segmented. I've used Mana Bounce shoes for a while and they've been fantastic: very breathable, with comfortable yet solid outsole support.
They recently came out with "Alpha Bounce" shoes, which seem like fancier versions of the previous types.
- I've had tremendous luck as far as never having to deal with ankle issues, or any leg issues for that matter. Based on talking to members/instructors, the one -- albeit recent -- common thing is an apparent correlation between ankle injuries and minalmist running shoes. If you're carrying tenors, I'd say minimalist shoes are a definite non-starter.
This article attempts to explain what qualifies as a "minimalist" running shoe, but doesn't really list any examples. Basically: I would avoid anything super-lightweight with segmented outsoles ... or those stupid Vibram Five Fingers.
- If you can find a way to pack a cheap pair of "back up" shoes, do it. It helps to have an extra dry pair for those rainy days or for "swamp tour" in Mississippi or Louisiana.
- On that note: keep your shoes and feet dry. My second year in DCI, we had a very rainy stretch of days during spring training. I made the mistake of not having a back up pair of shoes and not paying attention to my feet. After a long day 3 of rehearsing out in the rain, I took my shoes off and immediately noticed that the bottoms of my bare feet were entirely white (called "Immersion foot" ... don't google image search it). I went on a Wal-Mart run and got an ultra-cheap $15 pair, letting my other ones dry out for a day. I made sure to get out of my shoes more frequently during meals, and eventually my skin returned to normal.
- When it comes to drum corps, flexibility > strength. As a bonus: before the season starts, don't be afraid to take classes that work on that (i.e. Yoga).