In the past you could shoot almost anywhere on BLM land, things have changed. BLM is still shooter friendly, however it is worth a phone call to the office to find out where it is legal to shoot. The BLM people generally know the best spots anyway, so you may find out about a place better than the one you are thinking of. I believe the Motherlode office is the correct one.
Things the Rangers look for:
1-Are you shooting safely, a good backstop is a must. There are plenty of hills on BLM so shouldn't be a problem.
2-DOJ paperwork, so have it ready.
3-Tracers and steel core ammo, these are a fire hazzard and they come with hefty fines.
4-Your targets, one of the reasons BLM has closed many historic shooting areas is the mess, clean up after yourself and there will be no issues.