I don’t really know how to do online map drawing stuff so well, but here’s a photo of Beer Camp the maps. It’s basically Bay Trail as much as possible. This means lots of multi-use paths, including some paved paths and some mellow packed dirt/gravel. A cross or rigid mountain bike would probably be super nice on this ride. Your normal road touring bike would be fine. A loaded 23c road bike will work fine also, just a little more bumpy.
There are some cool looking trails at camp though, so do plan accordingly.
(Click maps for the full-size images)