So many times now, I go to a question and @khimerakiller already said pretty much what I was going to.
Let’s see…
Zero’s strengths and abilities:
Good accuracy (so inaccurate shotguns are not a problem)
Better on the first shot (OSOK, Deception etc…) So fire rate is not an issue either, and bigger bore are a better deal (and the Hyperion gimmick is detrimental)
Crit bonuses
Awesome reload speed bonuses
All this screams Jakobs to me, but corrosive Jakobs are few to say the least. Between the crit bonus, the bore-ing pellets, low mag size and Shock bone/Deception/Unforseen synergy, The Twister is an absolutely perfect match for Zero
Second best would be Bandit or Tediore based on your criterias, but there are no special big bore Tediore shotguns.
That leaves Bandit, and the one that works the best for Zero IMO is the Jolly Roger.
The Sledge’s is very good, but I’m pretty sure the second shot in the burst doesn’t benefit from Deception or OSOK bonuses. It also doesn’t get the full bonus from Two Fangs If my memory serves me well. (the Jolly roger gets a full extra shot out of 2F, but the sledge’s doesn’t get a full extra burst.
I have a special fondness for the Roksalt, but I wouldn’t recommend it here.
I say Nay…
Velocity is indeed bad on the CC since you need a minimum distance from your target before the extra pellets spawn, and velocity forces you to be farther away.
Anyway, the CC, just like most Hyperion shotguns, is a DPS weapon, better suited for sustained fire rather than devastating single attacks, which is what Zero is mostly about
I STRONGLY urge you to give the Professional COM a fair shake. It doesn’t look like much on paper, but I think it is the best (non-unique) generalist Cunning/Bore COM out there for Zero. Most of the bonuses the Professional and Rogue COMs give can be matched, but the Professional offers a bit more on top IMO. Either a blue or purple are good.
Also, try the Legendary Killer …seriously 
Even better than the Professional 