Unless you have a valid reason that the ticket totally is bogus (in this case you don't), I find early resolution to be a waste of time as you still need to show up for trial anyways to get the fine lowered, so it means two days off instead of one. At trial, you can still meet with prosecutor before the trial starts and discuss a plea bargain.
Did the officer lower the speed down at all, or give you full amount of 27 over? If officer already lowered the speed, then the prosecutor will probably not give you a better deal. If the officer did NOT lower the speed, then the prosecutor MIGHT give you a better deal (maybe 15 over maybe 20 over, something like that) although they have no obligation to over you any kind of deal.
If the prosecutor won't give you a deal, then you could go to trial and both you and your boyfriend could testify to your speed. You will DEFININTELY be found guilty of at least the 95 or 100 if the JP believes both you and your boyfriend. If JP does not believe you then will end with the 27 over charge (so no worse off than you are now).
Since your testimony at trial will be that you were speeding, but at a lower rate, if you and your boyfriend show up to court and talk to prosecutor before hand and explain that both of you will testify to that, then most likely the prosecutor will agree to a lower rate rather than waste time with a trial. Again, no promises, but that is the most likely outcome.
Remember though that a 0 demerit 15 over speeding charge can still cause your insurance to go up.
Anyways you should plead NOT GUILTY, and request a trial with officer present. Once you get your notice of trial, you can request disclosure (copy of officers notes, device used for speed measuring). You really need to see the notes before we can decide if there is a way to beat the ticket or not.