Westgate are weasels, and will do everything possible to make it difficult or impossible to exercise your rescission right. Including hiding the instructions, address, telling you that you havee less time than the law allows, telling you that your reason is not good enough etc, etc.
You don't say how long the 'few days' after signing the contract was, or what state you signed the contract in (we assume Florida), but in any case, it appears you are beyond the legally required rescission period. This means Wastegate can hold you to your contract. Any rescission after the 10 days would be in their 'good will', and they've shown repeatedly that they have none. I suppose that if you has a transcript or recording of the 'runaround' conversation, with the name of the agent, and it occurred during the allowed period, a lawyer could show that your intention was timely and that your intention was clearly to rescind, but that would be a VERY long shot. They would show the hidden pocket in the fancy binder you got, where the instructions are, and correctly say you had them all along.
Those people have no honor.
I am not saying you can't win, but you are facing clever and ruthless weasels. It will not be easy, and may cost you more than just learning to use what you bought. Westgate has nice resorts, and many people entered into ownership there just like you did.
Best wishes, and Welcome to TUG. I only wish it was a couple of weeks ago. The news would have been better.
Jim