It is not clear what kind of speeding ticket he gave it to you; over the limit or under the limit.

Plead not guilty. Go to the court, and tell the judge that you were not driving over the limit because you could not; because of heavy snow. And the reason you hit the cop's car was because your vehicle skid, which is beyond your control. The burden will now go to the people of Connecticut state to prove that you were driving over the speed limit.

Since you were not driving over the speed limit as you said, the state will not be able to prove it, and the judge can not charge you.