Vicente Flat is a great location to setup a basecamp for your Cone Peak ascent. Although it's popular there are several campsites, some complete with fire rings. Please note that a fire permit is required for both stoves and campfires and are available at Big Sur Station.
This campsite is a destination for some Boyscout troops so be prepared to share this location with large groups. Visiting during the weekdays is a great way to avoid the crowds.
A major creek runs through the heart of Vicente Flat but is subject to seasonal conditions.