Here is my list of possible match ups of shinigami against the sternritter, based on where we are in this arc at the moment.
1) Byakuya vs Gunslinger Quincy
2)Renji vs Nanana Najahkoop
3) Yumichika vs Pepe
4) Ikkaku vs Bazz-B
5) Rukia vs Candice Catnipp
6) Hisagi vs Meninas
I think for giselle and liltoto, ukitake and shinji might come in. I don't think Shinji got defeated off panel:
a)He already was rendered incapacitated in the fight against bambietta. It seems unlikely that kubo would do that again especially for someone who is pretty much the de facto leader of the visoreds.
b) My guess is, if all Bazz-B had to do was stall shinji he probably just used burner finger 3 and decided to be ASAP at ichigo's location
c) I think its about damn time the visoreds get some good fights and screen time. While I think Kubo has done a great job with this arc so far, i am a little disappointed in how he's making the visored captains look like fodder for the quincy.
8) Shunsui vs Haschwalth (I really hope this one happens.)
9) Mayuri vs Askin Nakk le Varr (And I really hope this one does too)
Im not entirely sure who will take on the quincy cheer squad. I hope its not rukia vs all 4 of them. And I have a feeling it won't be. But i think this is a great time for ukitake and shinji to appear and have some great battles. And as for shaz domino and the other quinces, i hope kensei and rose aren't dead and that kenpachi is able to recover so that they can take on the other remaining quinces. If not kenpachi, I'd like hitsugaya to recover and actually have a good battle with some sternritter since we haven't seen the full capabilities of his thoroughly trained bankai.