When my kid was in college, she didn’t travel to any auditions. But this is a perk of going to school in NYC. If you want to do summer stock, StrawHats and other auditions take place right there. My D performed every summer but only chose to do summer stock her first summer.
In terms of any expenses associated with school shows…nada. Same with professional shows.
In terms of health insurance, one way or the other, a kid needs it.
There are less books to buy for a BFA program than many BA programs (though there are still some!), but you can estimate that the suggested books/supplies line item evens out as these kids may get sheet music, plays, dance attire/shoes to make up for less books to buy.