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The fact that you are not filing for bodily injury or rehabilitation services probably made the insurance company glad for a quick settlement. I'm sure part of the deal includes your signature freeing them from any further financial responsibility.
I talked to 2 lawyer friends, one an avid motorcyclist who has represented on both sides of similar episodes, and neither one hinted that I had good grounds to claim significant P & S compensation, since I appeared to be fine. I suppose if I hired one of them to write a letter on my behalf....