Another thing to consider with playing a character that nobody is going to like is that...nobody is going to like them.
Somebody back on the old CoH had a character that, while not as extreme as what's being discussed here, was a womanising sleaze disliked widely by just about everybody that met them. IC, that is. OOC nobody had any problems at all with the player. But the player did say that, while it was gratifying to have a character that got just the response they expected, it got exhausting to RP somebody that nobody would talk to civilly for any length of time.