If I'm going Nunu top against Chogath, how do you beat the Chogath and bully him out of lane? His passive gives sustain and my iceball has huge mana costs.

Both of you guys just want to stay in lane all day and farm all day. You can't force him out, he can't force you out.

AA minion 5 times than harass with your E, or AA 5 times and eat a minion up.

They should give nunu a spell that makes spells free

Your problem is with a little AP, Cho has the potential to kill you - you really don't have any potential to kill him since he has two abilities that laugh at your ult. Cho is probably the best pick against Nunu top aside from Nasus or Trundle so its typically a match I would try to avoid as Nunu top since he outfarm and outscales you hardcore.

it's just a massive farm fest. you both sustain in lane. however once cho hits 6 he can kill you.

That is what you get for playing Nunu top lane, other top laners own you.

Like Cho Gath, Rumble, Kennen, Yorick, and the list is long.

Chogath's eating > Nunu's eating. I'm also not sure how I can contribute more to the team compared to Chogath late-game.

Just a farm fest until one of the junglers comes by

That is what you get for playing Nunu top lane, other top laners own you.

Like Cho Gath, Rumble, Kennen, Yorick, and so on.

Since you play Nunu top, and want to be Bronze 5. There is one thing you can do about it. Get Chalice and then Liandries. Burn him down, but you still won't be as viable as he is.