I have an idea for a Turian Character.
My idea is that he was on earth during the final attack on the reapers and he barely survived the whole ordeal, losing an arm in the process. So after the war, he stayed on earth to recover from his injuries and while there he was forced to watch westerns by some humans friends. At first he hated it and found the idea of vigilante justice silly and irresponsible, but the more he watched, the more invested he was in it and eventrully got obsessed with the old west idea's of justice. Do the right thing, no matter what. He started to take inspiration of Western inspired outfits and motifs, he even started to insert old western lingo in his everyday conversations, sometimes using them improperly, but damn doesn't it sound cool. 

Basically he's a cowboy LARPing Turian with a dry sense of humor and a strong sense of justice with little regards for rules and safety. Perfect for working with spectres!