pcosta,
I have had excellent coverage from AMICA, my parents used them as well and they have covered all my vehicles, including my BMW M-Roadster and Audi S4. I have also been a good insuree for them as I have never filed an accident claim and my rates have not increased significantly over 20 years of coverage (except for covering the M-Roadster due to the "sports" car premium, plus inflation).
I currently don't own a P (still going bonkers waiting for that 997TSCab. . .
), but I doubt there would be any restriction.
I believe they operate in CT, give them a call.