Do I have a realistic case against a hotel chain who gave a stranger a key to my room?

I was staying with my family at a major hotel chain in Colorado. On the second evening's stay a stranger attempted to enter using a room key issued by the front desk. The stranger was another hotel guest checking in and she and I discussed the issue amicably. The front desk clerk issued her another room and claimed my room had been changed since the first night's stay without notifying me. Clearly this was a major safety breach by the hotel - not just my personal possessions but my children were in the room, and I was fortunate I was also. I contacted the chain's customer service email who said they were following up with the property but "As a thank you for your support, we would like to apply 7500 points to your [] account". I asked for a full refund of the night's stay and received a reply that I had accepted the points as a "resolution", not mentioned previously. Do I have a case against the hotel chain or local hotel management?