If a doctor and an insurance company disagree there isn't much you can do.
In my state at the very least, the police report just says what happened and apparent damage, it makes no other notes of damage and isn't used to determine damages. If you are hit in the bumper there can be a lot of internal damage that isn't apparent because the shock absorbing material is only one time use stuff and has to be replaced even in a very low speed impact. Additionally, cracks can happen outside of the impact area, where the stresses of the impact are felt and professionals know where to look for this.
"Come on guys" isn't really a legal argument.
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