You're right in your frustration, but keep one thing in mind:
If a kid ran out in front of a car, it would be ruled the driver's fault.
If a dog runs in front of a car, it would be ruled the driver's fault.
If a car hits anything in front of it, it is almost always the driver's fault...on the presumption that a driver should be in control based on the current road conditions and surroundings.
I am not trying to minimize your frustration, but this is an alternative perspective. [B]
In your circumstance, I would do exactly as you plan.[/B]
But let me challenge your perspective a bit:
Years ago, in our county, there was an uproar because a driver of a pick-up truck hit a playing child on a rural road
and killed him.

Alone, that was terrible.
The uproar came when the truck driver sued the child's parents for damages to his truck
This is not much different in circumstance

, BUT, you would not suffer the same ridicule for suing over your damages. So, in this regard, you're in a better position than a motorist...
