TL;DR: Pick champions that will force them to fight when YOUR team wants to, grab an ultra-strong split-pusher, or nab/bait Baron and siege items to get them off the turret or you will never siege them.
Kayle is super short ranged even with her E up, so try to abuse that. Gangplank's Barrels make things a little bit tricky at the later stages of the game when he has them up almost 100% of the time being able to 1-shot a wave with ease, however if he gets to that point you're likely looking at a rough teamfight down the line anyways.
If you're stuck without waveclear and they have someone like, say, Viktor, you'll have to be clever about it. You'll likely need the Baron Buff to prevent them from one-shotting your wave, or something like a Banner of Command/Zz'Rot Portal to amplify your sieging ability or negate their anti-siege. Also, as others have said, split them up! If you top laner is a beefcake (Maokai, Nautilus, etc.) you'll want to have them tanking the tower for you. If they're a split-pusher (Fiora, Tryndamere, etc.) have them go to a side lane with their Teleport up (if they have it) and split-push until no towers remain. If they are capable of winning a 1v1, the enemy team is required to send 2 or more to deal with them, leaving you with an extreme numbers advantage in a teamfight and giving you the ability to siege or capitalize on objectives around the map to amplify your siege.
Your ADC will play a vital role in this if you don't have someone like Ziggs who can take towers with ease. Make sure to help keep them alive and healthy/safe to push the towers for you. If your ADC is too scared to get in there and take a few chip shots at the tower, you'll have to play around that and move with them.
If the enemy team is composed of something like Xerath, Gangplank, Cho'Gath, Brand, and Caitlyn, it's going to be rough to actually siege on them without having them insta-clear waves and stay safe behind their lines. You either have to poke them out or pick a VASTLY superior team comp in champion select to win a teamfight or clearing towers will only be a dream.
For team comps against super wave-clearing champions, look into hard engage. You want something that says: "Hey, we're fighting NOW, no more of this bullshit hiding behind your tower clearing waves." Maokai/Nautilus/Malphite essentially guarantee one or more targets are going to have a bad time, and with a few items can safely tank the towers for MANY hits while your team fights the enemy or sieges. It's always rough playing against a team that can lock you down from extreme range, so you'll likely have to play around your Ultimates/Summoner's Spells to effectively siege - just make sure not to overextend for too long and get picked off when disengaging, as they will be quick to turn the siege around on you!