Google for a list of web design/development agencies in your area, and they should have jobs listed on their sites, which will let you know who's looking. Ignore the instructions for applying online and try to meet someone from the firms you're interested in, maybe at a meetup/drinkup/etc. If you want to be really guerilla, set up shop in a coffee shop near their offices for a couple of days and see if you can spot a couple of their employees, then strike up a conversation.
A portfolio will really help here. If you can put together a small site that shows what you've done before, that will help. The Drupal agencies (the better ones, anyway) will also probably want to see some activity on Drupal.org, but that's not necessarily a deal-breaker. If you do want to work on Drupal, go to some Drupal meetups, and make it your goal to be ready to apply for a Drupal job at the next DrupalCon in Austin next year (Drupal has a learning curve, you will need the time).