Chances for AFROTC Scholarship

I am a junior. I have a weighted 4.11 gpa, unweighted 3.86. 34 ACT: 34 English, 33 Reading, 31 Math, 36 Science. I am a 2 year Varsity Wrestling Captain, Varsity Football Player (possibly capt. senior year as I start both ways), Varsity Quiz Bowl, Honors Band, Div 1 at State Solo and Ensemble, Div 1 rating at State Band Evaluations for 3 years (these band things may be exclusive to the state of Michigan, but Div 1 is highest rating), founded a business club at my high school and am the leader, physically fit, 6’3’’ 185 lbs with 235 bench 315 squat 360 dead lift, 6:21 mile time. 2 AP classes this year and 4 more next year (all APs offered at my school). Class rank 3 out of 124. Don’t really know what else to put. I want to get a BBA, but I know AFROTC wants tech majors. How bad will my major hurt everything else? Also, the school I am shooting for is University of Michigan, which is in-state so I guess I’m looking for a Type 7 scholarship.

Also, if my primary goal is to be a businessman of some sort, would putting Mathematics as my major (one of their accepted technical majors) beef up my application? I would definitely rather have a BBA, but I don’t want to ruin my application by putting that on there.