Discovered My Golf Club Ad Was A Scam

In February I bought an advertisement with a company selling ad spots for a local golf club's score books. I paid them and sent them the artwork, and they sent me the invoice and all was well.
Today I decided to perform some due diligence and go out too the club to see if my ad was where they said it would be, and needless to say it was not, but it was worse than I expected.
I was able to speak to the business manager of the club and through our discussion he made it clear that while he had spoken to this company before, they did not yet have an agreement in place to actually produce the scorebook.
The business manager of the club told me that he was questioning the veracity of the company himself, as he had been getting calls asking if it was a scam, told that the ad company was misrepresenting to the potential advertisers the amount of traffic they would receive, and he was very alarmed to hear that they had already taken my money for the ad spot despite having no agreement in place.
This of course prompted me to check my invoice and review their terms and conditions - to which they of course have a no-refund policy beyond a 24 hour cancellation window, and require any legal action to be taken in their own state.
My question becomes this: If they refuse to refund me, do I have ANY legal ground to stand on to sue them for misrepresenting their relationship with the club? For my money back or anything? What are my options in this situation? It also sounds like others may have fallen into this situation as well based on what the club manager said. Any advice is appreciated!
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