This sounds almost like a Mary–marry–merry merger question! I'm from Southeastern Pennsylvania.
1. Car category (/ɑ/)
Ariana (but would be hesitant to assume that I was pronouncing correctly for a particular person)
2. Marry category (/æ/)
KarenCara/Kara
TaraBarryClara
3.
Mary category (/eɪ/)
MaryCary
Variable Category
Aaron (Marry, or
Mary if that's the way they pronounce their name_
Ariana (Car, or any other)
Darren (Marry, or
Mary)
Sarah (
Mary, or Marry)
Carolyn (Marry, or
Mary)
Gary (Marry, or
Mary)