Never heard or seen 3 way toggle, but maybe it is just semantic of the word.
Answer depends on the specifics of filter facets. If it is just a bunch of yes/nos and they are not mutually exclusive then definitely go for for checkboxes.
Ticked box means that criteria should be met. Unticked means - I do not care about this.
 Women only
Toggles can only be two way also they are tricky. I think what you looking for is a group button. It is way more intuitive than toggle (it clearly show what is selected, and are labeled), however group buttons require more space than toggle.
I will do it this way: