Someone please help!... I want to just stop paying. But I know that is not the answer. What kind of recourse do I even have?
First of all, there are many here on TUG who are in a situation like yours where we fell for the glitz and glamour of a sales presentation and believed everything the sales person(s) told us hook, line, and sinker.
Here is an article about defaulting on your maintenance fees:
http://tug2.net/timeshare_advice/stop_paying_for_timeshare.html
You can also try contacting Profeco.
One thing to watch out for now is all the scams aimed at TS owners, especially ones of Mexican TSs. They will probably phone you constantly with great-sounding offers (eg., sell your timeshare for megabucks; cancel your mortgage; cancel your TS contract, etc.) if you pay them an upfront fee.
Don't fall for these because they are almost always scams.
Another possibility is to contact they resort personally and see if you can work out an amicable solution to end your TS agreement. There have been a number here on TUG who have reported success in doing that provided they remove any posts they may have made in public forums like this one.
The other piece of advice we give to people in situations like yours is to learn how to "make lemonade out of lemons". When you were at the presentation, you probably saw
something good out of your purchase such as the ability to exchange and lodge in TSs (as opposed to motel rooms or guest houses) in other parts of the world. Keep looking and lurking here on TUG to find advice how to make best use of what you purchased.