I'd go on LinkedIn and see who you know that knows someone there. It's a small town in terms of lawyers knowing other lawyers - I guarantee you have some connections there. Then reach out to your connection and ask for an intro. Ask whoever you get connected to out to coffee/lunch to learn more about their practice and then subtly sell yourself.
Trust me - I am at a boutique firm. Random resumes, no matter how good, are usually overlooked. There just isn't a need for constant recruiting like in big law. You need to make the personal connection and then let them know that you are looking to make a move.