Pay and put it on the credit card. Call the CC company and dispute it. Say they held your KJ hostage so you had no choice even though you were speaking to the DM. You only make a simple phone call, they have to justify everything to the CC company. You still end up paying but man does it inconvenience them and it may take several months before the charge comes back off your account!!

And it's always possible that the CC company may not agree with thier interpretation of the contract or whatever. I've done this several times for various things that I felt were justified. I actually won a couple. Basically no effort on your part. It's part of your CC benefits. After all, that's what you pay them for.
Then sue them in small claims court!

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My pics!!'03 Rennie w/all Tupperware
Custom Roof Basket
Mopar Tubular Brush Guard
Garmin GPS V & Laptop w/Nav software
RAM products laptop mount
Maglite w/mount
Rear cargo bay tool cabinet
AllJs Rear Shelf
Rear receiver
250k miles!
LOST #CR051230