It depends on how close you want to hew to canon, I think. If you want something that could be considered canon, then yeah, monster PC races are fairly limited. If you don't care and just want to kick back and tell cool stories with some friends, you can open up a lot more options.
For instance, a player that wants a RCV. Perhaps this vampire was previously RCI and a member of the Fellowship of St. Giles. Even with those tattoos, resisting the Red Court side takes an incredible force of will that few have, and even fewer can maintain for long. To survive with that curse without letting it claim you, you must by default develop supreme discipline and willpower. Perhaps, even after the transformation, that strong will imprints on the monster that's twisted into your flesh. You, in the strictest sense, are dead and gone...but you've left a tiny little shadow of yourself on the monster, changing it from its original nature, implanting a conscience into this beast. You're still very likely a brutal bastard, but perhaps your brutality is limited to the bad guys. Of course, determining who the bad guys are isn't always the easiest thing... Picture Marv, from Sin City. The guy is a total psychopath and enjoys the cruelty he causes on those he considers "evil" or "bad" or just "enemies", but he does have a set of morals he hews to.
Is it likely? No, very probably not, but if you aren't too worried about departing from canon, it can work.