How to determine if accident is worth reporting to insurance company vs. paying the amount yourself?

I recently got in a fender bender (due to another guy speeding down a side street with tons of parked cars, and me avoiding a collision with him by swerving into another car) that has been estimated at $600 of damage to the other car. My car was undamaged. I do not have a deductible for property damage coverage, but I am concerned my rates will go up. Does anyone know if there is a way to estimate what the “threshold” would be below which it is not worthwhile to report to your insurance company?

Also, any thoughts on asking my claims representative approximately how much my rates would increase, without them entering something into the system that would increase my premiums?

My policy does not include accident forgiveness, and it starts with a G, also. Thanks.