Is your mortgage paid off? If so, I would go with
@SteelerGal advice and give it away here on TUG or on Timesharenation.
Many of the TS companies have ResponsibleExit.com programs to take the timeshare back.
If you cannot give it away (even with incentives of paying fees and free year of MF), or not willing to deedback, then if the TS is located in Florida, California, or South Carolina you can walk as these are non-judicial, anti-deficiency states for timeshares. i.e. you can walk and all they can do it foreclose the timeshare, send nasty letters and try to call you (bark no bite), and take it back. Hit your credit score if they have your social and birthdate but if you purchased resale or didn't have a mortgage with them, they may not have it. You can offer a deed in lieu of foreclosure first to reduce the cost of time and delays. YMMV Check with a lawyer.