One of the reasons why Andy may be a little sceptical is because the offence does not attract a Fixed Penalty Notice (FPN). If the police think a fixed penalty is appropriate they will make a “Conditional Offer of a Fixed Penalty" (COFP). This is not semantics. Both exist but the two are completely different animals.
If you have not received a COFP yet I think it is more likely that the police will move straight to court proceedings, especially as you mention it is now “many weeks” since the date of the offence. You have also declined to take up the offer of a course and have given them indications that you refute the allegation.
…the police department has been extremely unhelpful in communicating with me and seem unwilling to review the case with the evidence I provided…
The police do not usually review evidence when they have made either a course or fixed penalty offer. They have already made the decision that they will take enforcement action. The idea of both of those is that the driver accepts the allegation as it stands and opts to take up the offer – which is considerably less expensive than any penalty a court may impose. So it’s unsurprising that they have failed to engage with you. The police leave any evidence of a defence to be tested in court.
….but will likely request the court hearing to sort this out.
The court hearing (or perhaps two) will indeed “sort this out”. But it will take the form of a trial, The police will present their evidence (which you will be provided with before you enter your plea) and you can present yours. The police evidence will probably consist of statements from the officers. If you disagree with their contents, you must ask for the officers to attend court and you will be able to cross-examine them. The court will then reach a verdict.
Before the trial you will be asked to state the reason why you are pleading not guilty and there may be an opportunity then to get he prosecutor to view your evidence, review the decision to prosecute and perhaps discontinue.
But if that does not happen you should be under no illusion – if this goes to court, unless you plead guilty, the only way it will be resolved is by way of a criminal trial. You should also be aware of the likely outcome should you be convicted. You will face a fine of at least half a week’s net income and a surcharge of 40% of that fine. You will also be ordered to pay prosecution costs of around £650. So, no change out of £1,000 for most people and possibly more, depending on your income. You will also see an endorsement and at least three points imposed on your driving record.
What was the date of the alleged offence?