Free (or Open) Range Laws, in some areas of Texas and Montana AFAIK, say that range animals have the right of way on highways. Here is an example.
But do these laws also apply at night? Is out racing your headlights an excuse for not having to pay for any loss of livestock if you kill one with your car?
It would seem to me that driving faster than is safe for the conditions is going to be a bad idea in most jurisdictions, whether it’s a cow, a Mormon on a bicycle or a 16-ton rock in the middle of the road.
You might become a Darwin Award nominee, which isn’t a bad thing in some cases. 
When animals are roaming free, they don’t bring them in at night. They’re collected a few times for vaccinations and when it’s time for slaughter, IIRC. So they’re going to be roaming at night and you have to make sure of your sight lines.
Hoofdestrians always have the right of way. And even for the few years when Montana had no numerical speed limit, there was still a “reasonable and prudent” limit. If you’re going too fast to stop for livestock in the road, given the current conditions, then you’re going too fast.
Nothing to add I just wanted to say that Hoofdestrians is a great word.