Zed is the bane of AP burst casters, but Viktor isn't so much of a pushover either.
I play both champions myself, and although the lane favors Zed, it can go either way.
Viktor's poke is actually a lot stronger. E does full damage even going through minions, and has the same insane range as a W Q combo from Zed.
At level 6, Zed can easily pick off Viktor if Viktor is not careful, but soon Viktor will begin to out scale Zed in terms of damage, and he can always get a Zhonyas. Viktor's Q alone will do around 2k full build.
Fiora doesn't win lane right away against Cho'gath. But after finishing Hydra and BT/BC though (or even just Hydra), she can just 100-0 him with her ultimate the moment Cho tries to farm out of turret range.
Only Cho has a strong early game on the side of BC. PROJECT can definitely snow ball the game if they get the gold onto Yi, Fiora, or Lucian.
Nonetheless, although I love PROJECT and own all the skins, I would put my bet on Battle Cast.
Cho'gath can literally just W and Zed, Lucian, and Fiora suddenly becomes useless until the end of the duration. Yi is going to have to get through Skarner and Cho to get to Kog hitting them from >800 range back. Even if Yi can 100-0 Kog in 3 AAs, he is going to get stunned until he dies. (Especially since Vel, Cho, and Vik can chain their AOE CC together for a stun that almost rivals Dark Binding.)
Zed can also try to delete Kog, but he is going to suffer the same fate as Yi. If they both go, Viktor and Vel'Koz will start taking out Project's back line. Cho's feast and a Skarner Q and Titanic Hydra proc will 100-0 either Yi or Zed, while the remaining one will get CC locked.
My vote would have to be with BC just because how strong their CC chain and objective control are.
If PROJECT can't end it early, they won't be able to rely on Baron or Dragon to help them.
Granted, if BC doesn't have their full team in a fight, they are kinda screwed against PROJECT. As I mentioned earlier, Fiora or Yi can both take on the entire BC line up if it is just a series of 1 v 1s or 1 v 2s.
Of course if Leona lands a perfect ultimate, the entire BC team will get deleted instantly. If Skarner and Cho engages too early and lives Kog by himself, it is a easy win for PROJECT as well.