I used to have Vans and they were horrrrrrible for DDR playing, at least for me. It depends on your play style and the way you move. Skate shoes are flat, like perfectly flat, so if your style is flat footed or something that can benefit from shoes shaped that way, then you're good.
Though I still think skate shoes are best for, well, skating.
I myself avoid playing flat footed (except on 10s, they're always the exception haha) and can't hit arrows for crap in skate shoes (except on 10s lolol). I wear New Balance something or others, but I'm sure any running shoe would be great if you don't play flat foot.
As far as sound goes, I try not to pay attention to my feet hitting the panels. If you're off and you're listening to yourself, you'll just get more off, y'know? The music/screen is how I know when to hit the arrows.
John Cena is hotter than you.