How to carry bronze (the real answer)
The thing no one tells bronze players is that you have to make your choice based off of the team that gets picked for you. Dont play a "carry". Play a champion that can carry the team you have against the team you are facing. Udyr can carry, but dont pick him on a team with no ranged waveclear or anti-seige potential. Especially if an enemy is playing tristana or another siege champion with a jana support.
So when I see a mord support, fizz mid, tryn top and fidd jg, I think I will 100% have to fend for myself because none of those champions are team players. I cant pick draven into this team. Oh look, theres an enemy malaphite and pantheon. Ill have to clear waves and push lanes when my team is doing all the things they need to do to prepare to throw the next team fight. I can tell they are going to let panth and malaphite group on them and we can loose the game that way. So Ill pick whatever will allow me to stop that from happening.
So I pick tristana adc and split the whole time because the enemy picked a malaphite, pantheon, zillean. I know I dont have to push a tower every time I split. I know I just need to keep their team from grouping. I keep a constant watch on the minimap and go wherever I can to prevent the enemy from grouping mid. If my teammates look like they want to chase someone like ekko. I know it will be a long and deadly chase so I abandon them to push mid lane. When they eventually get fucked by malaphite, the dmg to our tower is minimal because I have just pushed every lane and they have to send someone to me. But Ive already backed and my team is respawning. Disaster averted.
What exactly do you mean by carry champions? Not azir or draven right? I think its more about predicting how can the game go poorly for your team and doing something about it in champ select.