Update 3/10/2016 - Resolved!(?)
Yesterday, I got a call from the service director at the dealership saying they've spoken with Toyota reps about what to do with the car. He said they replaced more parts and got the car running normally with no noises at all. He took a final 30 minute long test drive this morning and called me to come pick up the car.
I drove the car about 2 hours today and happy to say, there is no noise whatsoever. Even the crickets are gone because they also changed the fuel pump. (I believe the noise they were hearing after changing the cam gear was the crickets.)
Here's a list of everything replaced on the car. If it says QTY 0, it's because they were instructed to pull parts off a new 2015 FRS by Toyota reps rather than making me wait for part orders. At least that's my understanding from what the service director told me. So a fuel pump and "injector sub assembly" from the donor car.
