I've been getting into old folk and country music lately and was wondering if anyone can reccommend some country or folk influenced blues artists. I'm looking for stuff like the allman bros, flying burrito brothers, and little feat.
You're going to have to specify a bit more.
Country Blues would be stuff like Big Bill Broonzy, Mississippi John Hurt, Skip James, Blind Lemon Jefferson, Lonnie Johnson, Blind Willie McTell, John Lee Hooker, and Leadbelly, to name just a few. Even Robert Johnson, Charley Patton, and Memphis Minnie, if you're looking for Pre-War stuff.
Folk-Blues would be things along the lines of Leadbelly (he's a bit of a cross-over), Sonny Terry and Brownie McGhee, Josh White, or Jessie Fuller.
On the OTHER hand if you're looking for rock groups, which I think is what you really meant, that show a distinct country and folk influence as well as the blues, you might want to check out Buffalo Springfield, The Byrds, CSN(Y), Bob Dylan, The Eagles, The Everly Brothers, Fairport Convention, Jefferson Airplane, Canned Heat, Nitty Gritty Dirt Band, or the Turtles.