Whilst you are correct in holding the steering wheel straight, you are joking if you think you should brake, even gently this would lead the car to decelerate more than the van and could lead it to snake and twist more. The best bet is to decelerate the vehicle, and not brake, if you have an automatic unlucky, as you would need to change down to a lower ratio. Even better don't snake in the first place! The caravan snakes when the critical speed of stability has been exceeded. This could be due to a number of reasons:- Sudden wind direction movement (LGV's etc)travelling through exposed regions, sudden vehicle movement-braking swerving, travelling to fast for the conditions, travelling downhill, poor weight distribution in the van, to name a few. Some of these climatic problems are out of your control, and some are not, so with careful forward planning good observations and anticipation, these problems won't occur. Remember you are towing a caravan so you must be on holiday, why rush!