Red Dead Redemption 2 - For a Few Redemptions More

OK, can someone please enlighten me as to how I’m supposed to get a perfect Iguana skin in Guarma if I don’t have a bow to hunt with? I shot a pristine one with the revolver and it didn’t kill it, then when I shot it again it went back to just a “Good” skin.

Chapter 5 is my only shot to get this, right?