I think waveclear from range is the best way to succeed.
Very late game, if you lose a teamfight and are alone defending against 3+ people, you aren't going to succeed with anyone to be honest. The champions will be far enough in their builds that they'll have no hesitation to dive a turret and try to kill you as soon as you're in range.
So your only hope is to make them dive the turret from outside of range. Meaning you need to waveclear the minions so the minions can't tank the turret until they get to you.
My last game I succeeded as jinx 1v4 at 55 minutes defending the nexus turrets for 25 seconds. I wavecleared with my rockets and forced them to dive me, then secured a double kill and flashed to my fountain. My teammates respawned after they took one turret, we pushed the other way and won.
If you go tanky they'll ignore you and win. If you're damage they'll dive you and win. Your only chance is waveclear in my experience.