Desdichado
Hero
You can delete those, actually.Accidental double post
I don't put the kinds of restrictions you do on my characters, so I get a much broader selection of races, classes and alignment than you do.
Actually, I completely ignore alignment altogether.
So, to manage it, I've adopted the Spirit of the Century background exercise as part of my chargen sessions. It's now a mandatory exercise before we start, because I've found that it works so well.
Each player draws the names of two other characters in the group. Then he writes a little blurb; just a few sentences, about some adventure that happened in the past to him. This works well for me because I usually start my games at 2nd or 3rd level, so its a given that they've done something before the campaign starts, but even at first level you can assume that there's been something exciting that happened to them. Then, you take that blurb from each of the two characters that you drew and write in how your character was involved in their story.
The whole exercise shouldn't take more than ten or fifteen minutes, and when you're done, you've got a whole web of relationships between the various characters, as well as some background hooks, that make it very plausible that they'd be working together for the campaign you're about to start.