I second the advice to file a claim since you have nothing to lose. Don't get your hope too high, as I don't think it is covered if my interpretation of the rules are right. I also have been reading complaints about the insurance company used by Chase dragging it feet even if the claims are proper. (Stories such that they kept insisting the paper work is not in order, or not received)
There are many reasons why a laptop should never be checked, including having a lithium battery in a cargo hold.