In parts of the USA there's an automatic doubling of penalty if you speed in a work zone... Just thought I'd start with that.
So you admit:
-speeding, (further, speeding in a work zone)
-being distracted,
-seeing a flashing light (but didn't pull over because you thought it was just an ambulance)
Think that lot through.
In effect, you broke several laws and given the dark wet conditions I'm struggling to see why you feel hard done by. Put your hands up and say "yes, fair cop".
Some patrol cars have cameras in them by the way, which measure your speed and record it. You'll look a lot worse in court if that's produced as evidence if you've called the integrity of the police officer into question.