The judge will alway side with the police officer. They are an expert witness and you are not. Plus if the judge rules against the officer, the next time the judge is caught speeding the officer will not let them off with a warning.
The way it works here is that you can retain a lawyer who will work directly with the city/state/county prosecutor or DA. (We have law firms here whose sole business is fighting traffic tickets.) Your lawyer will discuss the case with the DA on the date of arraignment and get him to either drop the case outright or get the moving violation reduced to something else.
In this method, the judge has nothing to do with it. After the lawyer and the DA come to an agreement, the DA will present his disposition of the case to the judge (i.e. will request that the case be dismissed) and the judge will follow the DA's recommendation. No trial date is ever set, and no trial is ever held. The judge will simply tell you and your lawyer that the case is dismissed and you're free to go.
I've retained lawyers like this for traffic violations, my record over my driving career (about 35 years) is 9 out of 13 cases dismissed outright, 2 cases dismissed after taking a driver safety course, 1 reduced to non-moving violation (fine only), and one that I ended up having to pay the fine on because I missed a filing deadline. Before you say I'm a terrible driver, please keep in mind that most of these were decades ago in my youth. I was way more green about life in general back then.
As of 2020, I think the last ticket I received was in 2011.
The law firm I typically used uses some tactics to help them. They will typically reset the arraigment date for dozens of tickets onto the same day several months in the future. When they get to the arraignment, there are then too many for the DA to work through in one day, so some get dismissed just due to case volume. Other times deals/trades are made, i.e. dismiss these 3 cases and we'll make a deal on these other 2. Every now and then they point out a "defect" in the case against their client to the DA, and the DA drops the case because he wouldn't win at trial. Way back in the 80's, sometimes the police officer wouldn't show up to trial and the case could get dismissed that way, but that doesn't happen anymore. They will always be there, per department policy.
Cost for representation by these law firms is typically $150-$250 per case, depending on which court is hearing the case and the nature of the traffic violation.
For the OP, if you retain one of these law firms I think there's a 95% chance they can get your ticket dismissed, as it sounds like the specifics of the law in your state do not apply to the event that occurred. I recommend that you don't try to do this yourself, as you will not have the same access to speak to the DA. You will end up going to trial, and will be at the mercy of the judge. As has been stated, he will generally not be on your side.