Vandy and Rice are not only DI in baseball, but they are absolutely top programs, with kids getting drafted into the majors left and right. OP is not going to make those teams if he is not already being actively recruited.
Davidson is an option, and, like Furman, they are DI for athletics but play is a lesser conference so he might be competitive. HOWEVER, very little merit aid. Great school academically.
I cannot add much on U Rich, as I am not directly familiar with that school, other than an excellent reputation.