Re: How can I get a good classical tone?
The "1" means that your Berg is on the brighter side as far as the baffle is concerned. They're not obnoxiously bright, but I can see why it might be a bit much for a concert setting. Really, the bari sax should blend with the low brass - fairly mellow unless fff, know what I mean?
If you really like metal, the Otto Link Super Tone Edge pieces are mellow-ish and could be used classically, but still may be edgier than your director desires.
For classical, I find the S80's and Larry Teal "LT's" a good piece. There's no baffle, and the chambers are fairly open. The LT is round-chambered and, to me, blows a bit more freely than the S80 square-chambered pieces.
I'll warn, though, that C* is a VERY closed tip opening (same for LT), so as a jazz player, you'll absolutely hate the C*/LT facing. Though the tone is appropriate, it will feel like there's a towel stuffed in the end of your horn when it comes to volume and expressiveness. I recommend for bari probably an "E" facing if you're used to more open mouthpieces.
My last bit of advice is to give yourself time when switching to a classical mpc. You may not like anything you try, but it may be the right sound your director is looking for. Be patient.