Look, I'm not going to keep hammering on this as its pointless but understand everything you just wrote does not justify you going over the speed limit and is BS you are trying to use to convince yourself it was alright; like it or not, traffic flow or not, YOU were in the wrong, broke the law and were caught and punished doing so. I'm assuming the cop followed you so long trying to determine whether or not the bike was stolen and if you'd run, that's sort of SOP around here.
Now that the facts have been established (I'm not saying my above statement means you should never speed or I'm an angel but you need to understand you were in the wrong no matter what and an ******* judge will present that to you that way) you can go on. Go into court with the mentality you did wrong, and want to minimize the damage as much as possible. You can use some of your explanations as reasons you weren't paying attention but if the cop followed you as long as you stated my guess would be you didn't slow back down as fast as you should have nor was your passing speed "reasonable" in his eyes, stuff again you need to know.
What is it you want to do, lower the fine or lower the points?
Every state is slightly different but most have a "forgiveness" program where if you go to traffic school or don't get a ticket in the next year (that's what we have in Minnesota) the point go away but it costs more money on the fine. If it's lowering the fine and you're fine with the points you'll have to simply ask for a lowering of that fee. They'll go over all that in court with you. Ask questions, say your sorry, and do what they ask without being overly defensive and you'll probably get help. You can even state the officer (never refer to them as "cops" in court, only officer) said you should go to court, I did that once and it helped; lots of times officers write notes on the ticket which can help you (he was curtious, I told him to go to court, traffic was light, etc.) because the judge or court official can see those.
You need to determine how much your time is worth. No offense meant but $185 is pretty cheap and I've have a hard time not paying it and being done rather than wasting an afternoon for $50. Just remember to be straight and they'll be straight back.