Fliar - I think you'll be able to find a good hotel in Manhattan in your price range. Periodically try Orbitz or Expedia.

You might also want to check out www.morganshotelgroup.com - they've got some pretty nice hotels throughout the city that are generally reasonably priced, although the rooms are generally small.

*Please* stay in New York, not New Jersey - it will make a large difference in your experience.