As dumb as fenway has been in the rest of this thread, I actually agree with him here. Get accepted, narrow to top 2-3, visit. Anything else risks wasting money and getting your heart set on a school that you won't attend (in either direction, whether being rejected by an expected accept, or being accepted by a reach and having to pass say Chicago for Harvard).
What if you are thinking about ED? Don't you think you should visit first and make sure you like it?