I'd personally recommend mid lane, and either go with a heavy roaming assassin or a mage capable of massive wave clear.
For roaming you have champs like Talon, Katarina, or Zed who can jump walls and get places real quick with their large burst damage. CSing will still be important, but less so as you can focus on giving your bot and top laners an easier lane, and their own focus on CS can carry things forward. I would recommending learning how to freeze a wave at the very least, so you can force your lane opponent to move away from their tower and give you a better chance to kill them. You don't want to roam with your opponent alive after all.
For wave clear you have champions like Anivia, Xerath, and Azir who don't have to sit there and last hit, they can just force the entire wave down and either siege a tower to open things up, or roam around themselves, though they often have less kill potential than an assassin.
Keep in mind I'm a top lane main, and most of my knowledge about mid lane is from interacting with it as a top laner, rather than playing it myself. Specific champions that are good change with each patch, but the basic strategy ideas here are what you should look at.