draven because his trades are so good as long as you know how to play him.
Draven is a little odd, and mastering him over 100s of games is key. He has very strong early game, and his passive means he will scale faster than his opponents if he gets kills. The problem comes when you don't get those kills, as without a substantial gold lead he isn't that impressive. He still has an ok late game, but its because he's intended to hit his late game faster than others and close games b4 they reach theirs.
Given what I saw on your op.gg I probably wouldn't recommend Draven. Draven has the 2nd lowest death count of all ADCs - not because he has good defensive tools, but because practiced Dravens prioritize conserving and cashing in stacks. Historically you have a lot of deaths in your games, so unless you can fix that, you may well struggle to cash in. Again I haven't seen your games so I could easily be off the mark.
Also, Draven apparently has an abysmally low win rate at full build according to champion.gg, so if you struggle to close games i wouldn't recommend.
kog maw because he is mentioned to have a bad early but in my games my early game isn't so bad
Kog's early laning is actually good. Its after 1st back that he'll struggle if even in gold. He will rely a lot on his support to make it from that point to his item spike at Hurricane + Rageblade. The best way for kog to win currently is actually with a dmg support that has CC - Lux, Zyra, and blitz are the three "highest synergy supports" currently.
Many hyperscaling ADCs have a good start to lane, but can't compete with mid game ADCs after items start being purchased. They have strong trades with dorans blade because it gives them an avenue to their late game aside from slow farming and stalling the game. If you get kills early and outgold your opponent you will be able to compete (not necessarily win) in the mid game.
Cait and Trist are good examples. Cait can shove hard at lvl 1 with Q, or if her support brings CC can take traps to chunk her lane opponent lvl 1. Her long range lets her harass at the enemies tower, so they are too low to take a fight. Her headshots will make her good at taking first brick. Doing this you can build a large CS lead and take tower to amass a gold lead, or you can kill them with traps and E>Q combos for a gold lead. Even then, if you are against, lets say MF, you could be sitting at IE Zeal Boots, to her Essence Reaver, and she will beat you in a teamfight. To stay ahead you need to farm, and pressure objectives, and only take teamfights that you can win because of another factor (caught enemy mid / 4v2 / they're diving under tower etc)
If you slip up, and your opponent gets a gold lead through CS/tower/kills Cait will probably feel useless until 3+ items.
Trist is similar, her E makes her extraordinary at taking towers at all stages of the game. Her W charging her E gives her a strong early game burst with a support that will initiate. If you don't have an initiator just shove with her E passive, ward so you don't get ganked and keep the enemy under turret. Attack them to try and make them slip up and lose farm.
W/o a gold least, Trist will also feel useless until 2/3+ items.
So if you want strong early and strong late you have choices like: 
. 
also but he's more reliant on poke than the others. On all of these champs the most important thing for you to do is CS better and die less. None of them require kills to get/stay ahead. They can all pressure and gain farm leads. That pressure can sometimes convert to kills.
If you want strong early to get kills and snowball you have choices like: 
. The most important thing here is to reduce your deaths and convert on kills. You can go 21/3 and lose because you didn't take objectives after kills. After every kill assess the following:
- Who could show up to clean up kills?
- How long until they can get here?
- What objectives can we gain now that X is off the map?
- Answers should include and be decided in the following priority: Baron/Elder > Dragon/Herald/Towers > JG camps/CS
- Adjust your decision by proximity, health, and time. Baron might be the best objective, but if ur half HP and on bot its not a choice anymore
- Ideally you do not recall immediately after a kill. Unless someone is on the way to kill you, you should always at least shove the minions into the enemy tower.
