How do I get rid of 202 infamy quickly?

So, I'm playing as Austria and I decide to build up a military and attack the ottomans. I won and they collapsed

FF five years and they attack me and I see the "make protectorate" button for a solid 120 infamy.

-So Prussia and Britain attacked me first, so I beat the shit out of Prussia and got German leadership and some clay -Then France and the US attacked me, lost 500k men then white peaced -Then Russia attacked me, so butcher them too And now I've white peaced the french again.

At this point I've given up on expanding, but am I supposed to know only war for the next 40 years?