Play who you enjoy.
Yorick is a pretty good champion at the moment and it's possible to carry as him. He does crazy damage with trinity force, but what really makes yorick an absolute pain for the enemy team is his split pushing power. He can 1v1 just about anybody who tries to stop him, and he shoves waves and melts towers with his mistwalkers and ultimates. In a situation of a feeding bot lane as yorick, you could shove top lane super far and continue shoving top lane, either forcing the enemy bot lane and jungler to pressure you, leaving drag and mid lane more exposed, or giving your bottom lane less attention by the enemy since they're starting to worry about you now. If you can keep this constant pressure, you can get to late game, therefore you carried by pressuring the enemy team to make very harsh decisions.
0/15 bot lane sucks, but what do you expect to do, play irelia and bot lane wins? If cait is fed, don't expect to win a 1v1 as irelia either.
If you want a generic answer, here's some good tops that aren't too tricky to pick up and can snowball really hard or solo carry:

But like I said, play who you enjoy. If you can't carry with them, try to improve on that. There's a reason why challenger one tricks exist, carrying doesn't always mean going 50/0/10 and 1v5ing, it means being a huge factor for why your team didn't lose and there are particular methods for certain champions to carry.