If you're looking for schools similar to Davidson - JMU really impressed me. Despite being in the middle of nowhere, beautiful campus and facilities.
Other good academic schools at the D1 level in that area would be Maryland (although better baseball), Delaware, Richmond. Although not as strong academically - Old Dominion and Campbell are also in the area with good baseball.
As far as the Big East:
St. Johns and Seton Hall have good baseball. Neither are considered HA but nothing wrong with a degree from either school. Baseball at Seton Hall is the #2 sport behind basketball. They have a new stadium but the school is in a very bad area. St. Johns recruits very well from NY, NJ, PA and gets draft talent. Located in Queens, not exactly a beautiful area either. St. Johns will get the more highly touted commits, but Seton Hall clearly does a decent job of developing them into pro talent as well.
Georgetown and Villanova - you're going for the education.