You’re pretty centered between the two major venues for long range shooting in the State - Coalinga to the south, Sac Valley to the north. Both ranges hold intro courses for new long range shooters.
I believe there is some BLM around Coalinga for shooting. So-Cal with its deserts has easier access long range for BLM, much of the public land in Nor-Cal is mountainous and patchworked with private land. National forests may be worth exploring but they can be more restrictive than BLM.