Solution to stomps and lack of late game

What if we kept the pace of the game, But made it so that as turrets went down lategame is reached MUCH more quickly?

If done that way, the early game domination would trigger progress into late game, instead of outright causing a victory.

I was thibking something along the lines of increased exp and gold by a percentage based on total number of kills and towers (with the losing team getting a higher percentage).

That way a champion cheesing through early game and getting a ton of turrets makes it so that chanpions like kog, vayne, cass, kass, and tanks start to switch into high gear.