if someone told me to get three different quotes I would tell them where to shove those quotes- that is way excessive- I have my autobody shop that my car goes to when needed and I am not going to make special trips to other places to get more quotes.
I had a 17 year old kid back into my 2 week old parked car with his daddys big 40,000+ truck- it was a small parking lot and he wasn't going fast-his trailer hitch went into my bumper but it didn't look terrible- the kid was like "I will pay it" but I told him I needed to call the cops for a report anyway, when the cop was looking at it I asked what he thought about the kid paying it and not going through insurance. The cop said "that looks like a few thousand in damage so I don't know if I would want to trust him to pay it but then again his dads truck is well over 40,000 truck so he may be able to"- I decided to go through insurance since it was 100% his fault and it ended up costing close to $10,000! The back up camera, sensors etc along with the back bumper, exhaust and more had to be replaced.