Ludlow has specials too who do details and work patrol shifts. I know of one guy who retired from the jail and became a special. He now works almost full time, by choice, because of all the availability to sign up for.
Just take your resume and cover letter, address to each dept chief and just send it out. Make sure you readdress so its different chiefs don't just write to the chief. (I've seen it) The worse that happens is none of them call you back. Also look at specials or part time on the cape for the summer. Great place to live and work for a summer, and gets you experience.