This might seem harsh but the simple solution is..SLOW DOWN, you openly admit to not being able to brake enough to stop at a crossing yet you still continued on at a speed far in advance of a safe amount that it worried you. Yet there are multiple pedestrian crossings and you still chose to go at an uncrontrollable speed, that's massively irresponsible!
what aspect of going too fast for the conditions did you not understand, you not only put other road users (especially pedestrians) at risk but yourself, IF there had being someone there legitimately crossing and you crashed into them with the potential for serious injury, then as a cyclist you may end up doing time in prison (As happened last year).
'Bombing' down a road even in the dry has its dangers especially since it is 'busy' and from the phrase you use to describe your cycling down the hill it seems to me you are an accident waiting to happen in the wet or in the dry.
I would hardly call someone able to bomb down a busy road as timid
That might all sound really harsh but it's meant as a wake up call because you either start to understand your and your bikes limitations and slow down or you'll end up in a shed load of bother and probably drag an innocent person into it.
The advice above regarding use of brakes is to be heeded BUT NOT tested at the limit of your ability in the wet OR dry especially on a busy road!!