ADC can very hard to play just whoever, whenever. ADC is heavily influenced by META, more so than any other role. But a good idea is to get a variety of champion knowledge. You have focused hyper carries and 1 generalist (lucian). Maybe try a burst like Jhin or MF, someone who uses abilities more than autos, or hits like a truck.
Here is the thing, any ADC can carry (its literally in the name). Playing with what you are good with is your best bet to carry. But, the "current META" fucks you sometimes, so having options is also a good thing. Picking safe carries (safe meaning good or at least playable regardless of META) is always an option too. Champions like MF, Vayne, and Draven are good choices for these kind of champions. They will sometimes be super OP, but never absolute shit tier.
For this current META though, I would recommend either MF, Tristana, or Twitch. You have 3 different playstyles here to choose from.
- MF is early game harass with good mid to late damage and focuses on team fighting with her passive buff and ult.
- Tristana is a mid-late game hypercarry who focuses on pushing and tower destroying. She has good team fighting, but is better for sieging towers and poking. Her passive lets her have the highest range of any marksmen (besides Kindred when stacked) so playing safe is always an option too.
- Twitch is tricky to get use to because most of your damage is from items and you ult. Poison is also a big factor too. He scales great with Excellent team fighting abilities. His stealth is good for ganking other lanes, or your own. Plus your ult lets you take both nexus towers at the same time (if positioned right).