Nunu, fiddle, veigar, teemo, morgana.
Morgana can easily sheild Nunu and own most team fights with nunu ult up. Veigar can stun multiple players, to be honest their team is kinda squishy. IMO kayle doesnt do much besides invul someone and throw out some dinky attacks. In most games she isnt really a threat unless she goes for a damage build but then I dont see this team not having a tank. I would just go for kayle if twitch try to be cool teemo can just blind him. Kayle can either sheild herself or die one way or the other twitch is served up for lunch. Or you could just use oracles etc as soon as you see twitch fiddle can silence kayle and you can just knock twitch senseless. Plenty of other CC with blind, event horizon, and morgana with her sheild and snare. Nunu's ult. I dont really see much that team could do. Lets not even count that fact that a good veigar could just explode twitch probably faster than kayle could ult to protect him.
A veigar with 200-300 AP 30 minutes in the game isnt too hard to do, and at that point you could easily baleful, dm,event baleful, ult a twitch which would take all of 5 seconds to do. If need be you could also swap in ashe for teemo and chogath for nunu, still gang up on another player, and ignore twitch entirely. Kayle would then have to ult twitch as soon as he appears or chogath can rupture him or ashe can arrow him, ruining his ult for the most part.