Your argument seems to be that if you had been reminded of the lower limit some 150 yards sooner, your average speed would have been below 57 mph. Are you sure? In any case, any speed above 50 is speeding, so you would still be guilty.
The limit must be adequately conveyed. You would need to convince the court that the big terminal signs (that you missed) and a repeater 500 m later isn’t adequate. Good luck with that - but if it’s the only shot you have you could try it. You are aware of the risks if you try it and lose.