An additional LOR or a phone call can go a long way at this point in the season, especially at schools that have chosen to put you on the wait list. I personally know people who were invited to interview off of the wait list after a well placed phone call or email.
That said, I think starting a fresh application at a school you haven't applied to at this point is in poor taste. I know it sucks, but my advice is to wait and see how this application season goes, and if things don't work out apply next year using whatever resources you can muster. Don't burn your resource this year. I think it will be ineffective and possibly harmful to your cause.