That's a pretty rugged trail, and aside from increasing chances of snow there probably won't be a lot of water. Unless you're good at navigating without the trail and you have good durable winter gear, this is better for late spring/early summer. Your particular concerns would be slick potentially icy rock, and having to posthole through the snow - which is very slow and tiring, more so if it's very deep.
Of course, you might go out and not get any snow at all... but the fact that you have not been there, are going alone, and winter weather is closer all the time, all adds up to more risk. If I were you I would choose a coastal destination, such as Point Reyes, Henry Coe State Park, or Big Basin, and risk poison oak instead of snow. It will still be cold but the worst it will throw at you would be rain. The Skyline to Sea trail might be just the ticket.