Other than the fact that head to head is almost always used as a tiebreaker in standings.
Yes, but that's when you must break a tie for seeding or a situation where only one team can advance to the higher goal (like the divisional championship) and you have to have a firm, established, and understood methodology for doing that before the fact. That's not the case here. All three of the tied teams are going to a bowl, there isn't a major difference between those bowls, and there is no firm and clearly established criteria.