Again, somehow I feel compelled to answer this question, Bear6360 . . .
Not legal advice, no atty-client relationship intended or implied, yadda yadda . . .
Going to court is the right choice. You should have the opportunity to have a pre-trial conference or similar meeting with the prosecuting attorney, who may be an Assistant District Attorney if you are in the "County Court" (Circuit Court in WI) or an attorney for the particular municipality (town, city, village, etc.).
Since you have a night appointment, I am guessing you are going to a municipal court. I don't know if you have a trial scheduled or a different appearance, such as a pre-trial conference.
If you go to trial, you will likely be convicted (assuming the cop shows up, and the court doesn't adjourn the case if the cop is absent). They should be able to prove you were driving in their jurisdiction, so the only elements likely in question would be what the speed limit was and how fast you were going. The speed limit appears to be a non-issue. If the cop gets up on the stand, says how he calibrated his radar unit that morning, got an unobstructed view of your car, the radar locked at 69, he checked the radar afterwards (or whatever your state requires for maintenance and certification of radar units), you are likely dead in the water. Also, anything you said to the cop when you got pulled over is likely on the back of the ticket or in a separate typed report, so that may also be used against you. If you are convicted after a trial, you will likely receive the points/fine shown on the ticket.
Your best option is a plea to a reduced charge, which is what you are looking for.
Most of the time the prosecutor will give a reduction in the points/fine as a matter of course. You would be looking at a six-point ticket in Wisconsin. I would probably plead that to a 2 point defective speedometer and increase the fine. I don't know if I could give a 0 pointer. In WI, (and likely in your situation) the prosecutor can only make the offer. The Judge still has to accept the plea. I make my offers in line with my understanding of what the judge will accept, but sometimes they are rejected.
In your locale there are a number of possibilities. The municipality may offer traffic school, community service, etc. Don't be afraid to ask about these options. Most of the time the goal is to collect revenue, so an increase in the fine may provide incentive for them to lower the points. The points are typically connected to the violation, so I doubt they can make a reckless driving a zero pointer. Instead, they can amend the charge to something with less or no points attached to it.
In my experience, having a lawyer does not really help you get a better deal from the prosecutor (in Municipal court, circuit court is another story), but certainly increases your chances of success at trial.
Points are never good for insurance purposes, but less points are better than more points. I had my insurance skyrocket for an undeserved six pointer some years back. If it had been a 2-4, the red flag probably would not have been raised, along with my rates. You could still see your rates go up with a 2 pointer, but the chances are less.
Good luck, and remember to be polite. Nobody is going to give a break to a jerk.