I was planning on doing this exact same thing, just ordered some MKII bodies to kitbash with tactical marines for my Minotaurs Badab army, so thanks for the outline on how to go about doing it!
I think Star phantoms would be cool. They adore melta and plasma weaponry, and they worship death and see the emperor as a god of death. They have a pretty pure white colour scheme with large accents of black, and skull designs.
Do a fun halved or quartered scheme! I'm currently painting an all-firstborn Marines Errant army, and enjoying it very much. Novamarines, Marines Errant, Howling Griffons, etc... Amazing chapter schemes
Fire Angels might be a good pick. I think their red details would be great on your models and they are noted as preferring Heavy Bolters in their tactical squads. They are supposed to be quite new and lacking relics though, so the MK2 legs might not fit in with that idea. The Blood Ravens are an excellent pick for the classic firstborn look. The MK7 face of a Blood Raven just screams Dawn of War. I feel like I don't see Storm Wardens that often either. Would be cool to make a Captain or Sergeant with a two-handed Claymore as well.
Great video, I am currently building a firstborn army for my LGS escalation league. Im doing a Badab War Theme, with each squad been a different loyalist unit.