I agree with JABMK that it depends on your specific situation, but I think it is most important that you understand their (the coaches) situation. Always put yourself in the coaches shoes. There is a big difference between interest and serious interest in college baseball recruiting. The recruits that can understand that difference should be ahead of the game IMHO. With serious interest, everything you say and do has greater weight so deciding what to share and not share can have serious implications. Essentially it is a negotiation or a poker game depending on how you want to look at it. Coaches are better at it, and do it everyday. My son is someone who felt the need to share some information when information was shared with him. However, he never showed his entire hand. In some ways, I thought the coaches respected that.
For colleges that were at the top of his list (prior to being offered) he only mentioned either their region or their conference. For colleges that he was casually interested in, he mentioned the schools by name. When you get to the offer stage or multiple offer stage then I think it can be appropriate to show your hand. This goes back to the concept of who has leverage or who is a buyer or seller in the recruiting relationship. I've posted this before, but here it is again. http://www.tier1athletics.org/...a-buyer-or-a-seller/
As always, JMO.