Only one rat? LSG couldn't just turn that into another burger and get going?

I've used the trip delay reimbursement feature of the Explorer card without issue, so I would expect CSP to be about the same. You do not have to pay the meals and hotel with the same card you used to book the trip. But it's not handled by Chase, rather by Enhancement Services. They tend to ask for copious documentation, so be prepared to do a lot of mailing.