Did you say how big your hands are?
For *MY* 9x19mm, combination Fun Range Gun/Noob Inductor, and Vehicle Carry Pistol, I'm planning on the CZ 85B Combat, with thin Hakan grips. You already have and like a CZ, so why not. But, if you WANT variety....
BHP is nice nice choice. Or clone of same.
Also in your price range is the Springfield XD and SigPro 2009 if you want to go polymer. You can also load 9x19 into .40 mags, for some quasi-standard cap mags, legally. Glock too, and they're tough as nails, but I'm off Glocks because of the grip angle. I do like the model 34 Glock a *little* however as a good fun range gun. Or one of the old 17Ls.
Dunno if you could stretch the budget to get a Sig 228 or 229, but man it's hard to go wrong there.
If your hands are bigger, then maybe a Beretta 92 or double stack 1911. Don't know anything about the Billinium Jeff OTMG speaks of, but do know from experience that Jeff speaks wisely on the subject of auto pistols.
I don't buy s&w or Ruger, since they contribute to the demise of my gun rights.