From what I understand of the rules, if instead of:
"Pilot carrying this quasi-lawful ID is a Freelancer, who:"
it said:
"Pilot carrying this quasi-lawful ID is a member of the Archangels Fighter Club, who:"
You would no longer be a 'generic' freelancer faction, and:
"11. Any freelancer or BHG individual or group may only collect on a bounty which that person or group has issued, sponsored or funded (fully or partly) so long as it is open to others to collect. All non-generic factions may sponsor internal bounties that are only open to members of the player or NPC faction."
So any faction (apart from those on Freelancer, Indie Miner, Pirate IDs) can list in-faction-only bounties...
Also, you don't have to be hostile to individual targets, you just need an RP reason to list a bounty against them, see Bounty rule 9:
"9. The character registered on a board must be at least neutral to their employer, and hostile to the faction they are targeting in a bounty. This does not apply to assassination missions where the target is a single character. Board owners are obliged to ensure that the persons they are hiring have a suitable reputation. This means no hiring or paying people who would be hostile to you based on previous actions or non-hostile with the targets they claim."
I'd imagine you would have to propose some sort of ZoI or something so you don't just become the "Freelancer+" ID