My D17 had visited tons of colleges with S16 but he picked all the schools and they were based on what he wanted which was mostly medium to large size schools. My D did not want to do any visits and just wanted to apply to 20 schools and visit the ones she got in. That would work really well with schools literally all over the country and basically only having April to visit and decide 
I talked her into doing 1 long weekend visit (without S16) where we did a very large school and a very small school. She realized she really did prefer small schools which I expected. She also once she started thinking about it realized she would prefer to be in or near a city. Just those 2 decisions cut her list of potential schools in half. I have told her that I want her to visit any school she plans to apply to EA or ED plus any school in her top 3 but other than that we can wait.