Try to figure out what “fit” aspects, if any, require a visit to determine and which “fit” aspects are those where information can be gathered without requiring a visit.
Class sizes can often be determined by looking at the college’s on-line class schedule to see what they are like for courses of interest. Note that popular majors tend to have larger class sizes, particularly at the frosh/soph levels. Classes taken by students in other majors or for other purposes also tend to be larger (e.g. biology and chemistry courses that pre-meds take).