I'll save you guys a lot of time and needless surveying which may end up with inclusive results.

Just use https://gis.orangecountygov.com/orange/ (which even uses OSM as a base map) to check parcel lines/ownership.

It shows the majority of the track on private land.  There is small section in the middle that is on unowned land.  But I will also consider private because it could become private very easily.  So I set it to private.