Theo I only said that because its on his website. It says their preferred transfer company is Sumday Vacations.
Sumday Vacations is a reseller, not a "transfer company" per se (not in the sense of
solely being a "closing" entity anyhow, as other "just closings" companies are).
In view of what you have described, I have to assume that the m.o. here is as follows:
1. The "No More Fees LLC" PCC gets a few thousand dollars from the would-be former owner, right up front (I sincerely hope that you don't even go there), also getting signed Power of Attorney to represent the current (and would-be former) owner in a future transfer to someone else. The PCC now has a few thousand dollars firmly in hand, no matter what happens next (...including maybe nothing at all) from that point forward. The "No More Fees LLC" PCC is now happy --- but you are
still the legal owner of record for the timeshare. Not very reassuring, IMnsHO.
2. Sumday Vacations, being an established reseller which apparently has some sort of "working relationship" with the intrepid "No More Fees LLC" PCC, puts the listing up on eBay and / or elsewhere. In point of fact, the two entities may be (or at least, share some of) the very same people, but are merely technically "separate businesses". Sumday keeps whatever amount the timeshare brings in. If that amount turns out to be next to nothing, Sumday will
still be collecting (and keeping) the associated closing costs, regardless of the selling price.
All of this is just my personal theory, of course, but if I was a gambling man I'd very gladly and promptly place a hefty bet on its' accuracy.
In any event, you can most likely part with your ownership in a fashion that is faster, less stressful and costs considerably less than taking the shaky PCC route by following the advice and input provided by others here above. You
can do it, inexperience notwithstanding; it's not a moon launch. Good luck.