maybe the Stonewall Stormers or Vratsa Vultures 
I may be alone in this, but doesn't making a third team an international one seem impractical? The biggest reason being that your character would be pretty limited in terms of where they can post. (I know characters could magically transport themselves anywhere, but I feel like it would be difficult to explain why a Canadian or Bulgarian, let alone several of them, are always apparating to London just to hang out.)
It just seems to me like it would be very difficult to fill a team where the majority of the roster really shouldn't have attended Hogwarts, may not even speak English, and has to rationalize it every time they want to post outside of the "Somewhere Else" board. (Plus the international teams are part of their own leagues, anyway.)
Besides, there are still so many British and Irish teams to choose from! Some have really fun possibilities: Chudley Cannons (how funny would it be if everyone on the team was utterly incompetent), Wigtown Wanderers* (everyone on the team could be related), Kenmare Kestrels (hello, leprechaun mascots)...
Anyway, that's just my opinion. :3
ETA: sorry for the novel, I'm procrastinating on schoolwork!
*idk why I wrote Wigtown Warriors there, fixed it.