Just out of curiosity, what would you decide in a hypothetical situation?
You find yourself in an alternate Earth. You discover there are no other Homo Sapiens anywhere. However, there are Neanderthals and Cro-Magnons everywhere.
You realize that getting back home will never happen. You realize that you will have to make a life here now.
Neanderthal female or Cro-Magnon female for a wife?
Cro-Magnons are considered anatomically modern humans (Homo sapiens sapiens), just like people today.
Cro-Magnon is really more a description of their culture, like Celtic culture, or Clovis peoples.
Now, I'm not saying she wouldn't have lice and be a little smelly, but no worse than you could find at any local rural watering hole.
But that's no reason to go full-monkey. You never go full-monkey.
Two bags and a six-pack could get her done.