Counter picking makes the game Rock, Paper, Scissors

counterpicking is a part of the game they designed INTO the game. They want counterpicking

Then play blind pick

Removing counter picking makes 5 champions good at a time. It's not a perfect system but it's better than the alternative.

{quoted}

Any thoughts on how to mitigate counter picking?

Make every hero the same. That is literally the only way besides different builds.

Counter picking is a given with any game that has different champions.

It's like asking for a non-green, yellow, red, purple, or brown banana that is healthy and edible. Yes, two of those colors actually exist naturally.

my man you would not enjoy dota if you have issues with counter picks. All I can say is play flexible champions or main safe junglers.

Ensure that minions and outer turrets are powerful enough to allow champions to get in some farm safely even when they can't confront their opponent.

In truth, league "balances" this through junglers. Against competent junglers, aggressive play is risky at best and suicide at worst. Lane freezing therefore becomes important. However in NA SoloQ most junglers play the role to afk farm.