Why not? It's a beautiful campus and it's so close. Might as well see the two best NJ schools while you're here.
Because I would prefer that the out of town visitors spend their money at establishments in and around New Brunswick. The local businesses deserve our support and should be the ones that benefit from the increase in away team fans.
It's one thing to recommend to someone from Iowa to take in NYC or the Jersey shore but other than that lets keep them near campus.