I'm going to college next year and plan on playing basketball for either San Jose State Univ.,Univ. of Arizona?

or Howard University. I am 5'9" and athletic, but I only played JV ball in my Sopre year of high school. I will be practically working my azz off this summer. But do you think I will have a chance with my height, and the fact I haven't been spotlighted through high school?