You might try airbnb just like people who rent out parts of their homes. Anyone can do so. But it's a bit more tricky because you have to set your calendar to only offer your very specific week...which means you have to block off all other weeks by declaring them not available.
Before doing so, just make sure with your resort that you will be able to designate a guest (i.e. a tenant). And ideally, make sure that the resort would allow you to rent your week out to multiple renters. Meaning something like three days one tenant, four days the next. You'd then have to arrange and pay for a midweek cleaning. I therefore like to set my minimum stay requirement to three days.
The partial week capability is particularly important as most airbnb renters, and most humans in general, don't want to stay anywhere for seven straight days. Most busy people just want a quick getaway somewhere. So people from Sacramento, San Francisco, Oakland, Alameda, San Jose, etc. will be good candidates for you. If they've got an entire week to "vacation", they may move on to a second resort perhaps a hundred miles away, but still don't want to stay at any one place for an entire seven days.
Perhaps retired people like the 7 day stay. Or perhaps unemployed people like the tens of thousands of federal employees that will soon be separated or accept early retirement from their jobs. But that's not how most working people vacation anymore.
Indeed, perhaps you yourself don't want to stay there for an entire seven days, but would be willing to stay for 3 days. Then plan on a midweek cleaning to rent out the following four days.
I've never tried them, but VRBO and booking.com may also be possibilities. The more your timeshare appears, the more likely it is to rent. And it likely will rent if you don't charge too much.