See my recent post:
(Lawyers help for pending speeding conviction - #4 by eezie)
Do speak to the lawyers. You could have sent a letter with your plea and included mitigating factors if there are any. You can still do that if you appeal.
My friend was processed by the Surrey police for driving at 92 mph on a 70 mph A road. Each police force is different but he received a £100 FPN and 3 points and considers himself lucky.
You may not be so lucky being at the upper end of the scale so definitely speak to the lawyers and draft that letter.
All the best.