Like others here I don’t see this as a no show at all just late check in.
In a a similar situation earlier this winter (also to a ski destination with 30 days cancellation policy) when it was clear we will miss our connection flight we called the hotels and they checked us in over the phone without a problem. We arrived a day later and paid all the nights with points. That is what I would expect from every decent hotel.
Late check in is not a no show and the hotel will be paid if they will keep the original check in date in the system.