If you letter in all three sports and are baseball-worthy, most college programs will value the athleticism. Agree with Coach, the hurdle is your high school coaches.
I saw an interview that Eric Bakich gave when he was Coach / Recruiting Coordinator (or whatever his title was) at Vanderbilt. (He is Coach at Univ MD now.) He was asked about the characteristics of the ideal recruit. This being Vandy of course he mentioned very good academics, some of the normal baseball stuff and he said he really likes the kid who played a couple of sports in high school. He was asked why he wanted the kid who has played a couple of sports and he said he wants an athlete. Now you look at the Vandy roster and most boys played only baseball in high school (Sonny Gray was high school quarterback and some people say he is the best quarterback on the Vanderbilt campus today), but Bakich was describing the ideal recruit.
John Lackey was a multi-sport letterman and I know there are many, many more.