Sorry that this happened. I once got bitten by bed bugs at an Airbnb in Singapore and by some unknown bugs at a hotel in Vienna. Your bite marks do resemble those made by bed bugs. Have the doctor write a specific note stating that your bite marks are likely from bed bugs.

Bed bugs do travel and CX would likely cover up other cases of BB bites. Read the Nolo book about Personal Injury; much of the materials may apply to your case. I am not sure if $10k is enough, if you had to miss work and suffer that much.

Good luck.