I don't have any direct experience, but since there is effort and expense involved with filing a foreclosure, I am highly doubtful that the resort HOA would foreclose if you only behind by $1000. I am guessing that is a single year of maintenance fees? They will begin sending notices, perhaps even threatening notices but I would expect it to be months and possibly several years before they actually foreclose.
Do you have a loan on the timeshare, are you current on that? The lender might move faster than an HOA.