Charged $250 for SMOKING, I don't smoke at all.

Charged $250 for SMOKING, I don't smoke at all.
I stayed there for a night couple of weeks ago, the room was okay and all went okay till checkout. 2 hours after i checked out, my card was charged $250 without my authorization, i called the hotel and they said they can't say anything as there was no manager. I'm out of state, I was about 40 miles away already, yet still i drove back to hotel to check why they charged me $250. The front desk clerk said i smoked in room and they have PICTURE evidence of me smoking. I have never SMOKEN in life, so asked her to show/send me the picture, she didn't replied to that and called manager on the phone and they went to check the room again. After 15 mins, they said they charged my account by mistake and they'll refund. I left the hotel then and waited for few days and i don't see the refund yet, i called back the hotel and they said i can talk to only manager on this issue and i have to talk only the next day 8AM. When i spoke to her, she said the refund isn't initiated and its my mistake i smoke in room, I asked to send picture evidence she talked about as proof (i didn't still get those). She said she'll investigate the issue on her end and will get back to me, but i didn't heard back from them yet(about 10 days now). I opened a dispute case with my Credit card company and waiting. Will update here if i there are any movements.