colleges where you can explore majors?

LAC’s seem like a good fit to “try out” any of those majors - though engineering and the sciences (Chem/Bio) have more strict paths than other majors. LAC’s by nature are exploratory and encourage “trying out” majors, AND allow you to do this and graduate in 4 years.

Look at Trinity University in San Antonio as a good example (great school, but no skiing).