Speeding

Got caught "speeding" at 83km/h on a 60km/h road (i.e. Punggol Central) on 3-4am Sunday..
Ah 1st time in my 6.5 yrs of driving got caught..
To be honest, I think I was travelling near 90 until I braked when I saw the traffic police..
But anyways..the police asked if I was rushing anywhere..
Mind was blank (it was late)..so I said no..
Come to think of it..some possible scenarios flashed thru my mind..

Scenario 1:

Police stopped me..
I step out of the car..give my driving licence..
Say I need to go toilet urgently..come back later..
I do come back later and then the police let me off as I was rushing to the toilet..

Scenario 2:

Police stopped me..
I step out of the car..looking constipated when in fact I have a bad stomachache..
Give them my license in a hurry manner and ask them to hurry up as I need to go toilet..
Police decide to let me off..

Of course none of these happened..
And I am facing a letter in 2 weeks to a month and a $150 fine with maybe 6 demerit points..
But I am going to appeal..although my basis is not firmed up..
But if you don't try..you don't get it..

Or maybe I won't get the letter as the Police thought I was very cooperative and they have achieved their target number of offenders and mine was too minor (Scenario 3)

Any ideas for my appeal letter anyone?