APY,
AFAIK There is a 4th verdict, that of negligent but not willful murder; i.e. when the axe head flies off and kills on the down stroke. That person does not get to go to the Ir Miklat (to be safe), nor is he considered beyond retribution from the Goel Hadam.
I don’t beleive that anyone is “handed over to the family”, but in this case he better watch out. He’s now a target with no place for refuge.