I understand, and I'm honestly only trying to help you. I don't see how touring a city or a campus while on a WL demonstrates interest, as opposed to desperation, but you should definitely do what feels right. I just think telling the school about it in a LOI will be a terrible look, given the current situation, and will backfire.
I'm in the process of getting vaccinated now (one down, one to go!), and I definitely feel less vulnerable than at any time since last March, but that doesn't mean s**t in the scheme of things while most people are still not vaccinated and I could still be a spreader. As you said, masking, distancing, etc. are still in effect, and are still necessary, as COVID stats are down 75% from the recent peak and are still higher than during the first spike last spring. If schools had any desire to have us come out of our bubble to demonstrate interest, they'd host socially distanced second looks.
Exactly what, other than desperation, do your parents think will be demonstrated by a long drive to a distant city, without a visit to campus, before you have been a spot in the class? Again, do it if it makes you feel better prepared in case the A comes, but PLEEEZE don't tell the school about it!