It can be helpful to see different types of schools to have a sense of what a state flagship feels like, a LAC, possibly a women’s college, rural vs urban, etc. That can often help refine the search.
There is little reason to visit schools in advance of applying unless you are applying ED. Covid made all the schools quite adept at showing themselves from a distance. Some schools help accepted students with visits, and often, these are far more extensive than anything you can do earlier.
There are plenty of ways to engage with schools during the search and application process. Definitely take advantage of those!
And don’t stress if you can’t devote as much time and money to this as some do. Imho, college search/visits are a great excuse for spending time with a kid who is pushing you put of their daily orbit. Expounding on the value and necessity of the visits is great cover for all involved!