It couldn't hurt. A place that has insurance mins. still won't be in a position to take you on, and a larger dept. with in-house mechanics won't be swayed much. However a smaller department that bases from a remote airport with no maintenance facilities and no mechanics could be very interested. Just know what you are getting into from the beginning - are you going to be a PILOT/mechanic or a MECHANIC/pilot. Do they have duty time restrictions and does your wrenching time factor into that, etc.

Also, you have to present the right package. Appearance, attitude, competency, work history - It's all got to be there, you're not going to get in on the tickets alone.