D.B.
I agree with Mamazita. Your pediatrician will have numerous referrals who accept your insurance. Your insurance company will have lists of member providers, but your pediatrician also knows you and your child and may be able to make a specific referral to someone he/she thinks would be a good match. They will probably also know who is taking new patients and who is not - which will save you time.
Your town may have a department of Children and Families (or some similar name) that offers counseling services to residents - if you can't find the right office, contact the Town Clerk's office as they usually have a solid knowledge of what offices handle different matters.
Mamapedia is a national forum and the likelihood that anyone on here is from your town is so low, it's not worth wasting your time waiting for a possible response to come to your in box.
Good luck - start tomorrow morning on the phone calls. Keep really good notes of where you call, when, and what they say or what names they give you.