The short answer, there is no public version of the map to my knowledge. The medium answer - if you find maps of CESRS, OES Fire, or CLERS systems you can get an idea of the routing the microwave system takes, but I am not aware of "public" versions of those either. The long answer...
CalFire is simply a user among many on the state microwave network. The microwave system provides communications/data between ECC's, CHP dispatch, Caltrans offices, as well as supporting extended communications of agencies that have one dispatcher for a wide area, like CHP, Parks, and FishGame. etc. There are some radio systems such as CESRS that provides a VHF interface to the microwave system and allows dialing around to other CESRS transmitters or the internal green phone, allowing a VHF conversation between Crescent City and San Diego. County, State and Federal agencies all can use (subscribe to) the system.
State radio sites and state agency transmitter sites do not necessarily need to be on the microwave path. Many CalFire Units have the ECC in a location that can hit many/all of their local net repeaters directly. Many CalFire Local and Command Net repeaters are not on microwave sites, but in other smaller vaults, lookout towers, or leased from other entities (cellphone, local gov etc.) So a "map" of the network isn't really going to get you any intel on radio systems that FCC license locations can't better give you. For instance, Tehama County has 3 state microwave sites, Tuscan Buttes, Colby Mtn, and Vina Helitack. Tuscan has nearly everything, CHP, Parks, CalFire, Caltrans800, AirGuard etc. all in the same vault and tower. Colby only has CHP and possibly Caltrans 800, and Vina only has Caltrans 800, despite it being a CalFire helitack station. So a map of the system in Tehama only tells me 1 of 4 CalFire local net repeater locations in Tehama, none of the command net repeaters, no fish and game, and some caltrans. So the FCC is a much better source.
The system is managed by CalOES Public Safety Communications Office. DGS changed to PSCO when they got put under the California Technology Office years ago. And 10 days ago they moved from CTO to be part of CalOES.
PSCO website
On that link under Radio Comm Division you'll find a PDF for the Capsnet strategic plan from 2011. Helps explain the system.