My first PIP claim was no-fault & the 2nd fell under accident forgiveness.
I’m unaware of a specific company that will insure you with 2 PIP claims, but if you can’t find an insurer, you can look into the Florida Automobile Joint Underwriting Association (FAJUA). They help people get insurance when they have no other options. It is referred to as the “High-Risk Market” or “Market of Last Resort.” Read more here to learn more about high-risk rates and here for more info about SR-22s in Florida.
Before you resort to this, you should shop around as much as possible.
Good luck and if you have any questions, don’t hesitate to ask.