While I don't live in LA, and therefore can't actually help with the recording, I can give you some pointers.
I've recorded lots of rockets, bottle rockets, firecrackers etc... You're going to want to get lots of perspectives, but the problem is that these things have a mind of their own. So, I suggest you bring lots of gaff tape, spring clips, etc... and devise a way to keep the rockets put as they go through their ordeal. Therefore, you can keep the mics the same distance away from the rocket the whole time.
Now obviously you're going to want to have some actually shooting off as well, as they have a cool dopler effect that you can't mimic if you clip the rocket to a stand. My best suggestion for this is to have a few stationary mics, and have at least one, and more if possible, people with shotgun mics attempting to aim at the rocket during it's entire flight.
As far as mics go, you're going to need some dynamics for close (57, RE20, etc...), maybe condenser up close for the fuse (that can handle SPL, maybe a Sanken Cub?), a handful of shotguns, stereo mics, etc...
What are you recording this into? The H4? If so, you'll just have to do lots of different takes with different mics. Use whatever you can get your hands on. If you can get someone to go with you, I'm sure you can pool gear for a bigger arsenal.
As for locations, I'm not extremely familiar with LA, but I know that there are a few abandoned developments in Pasadena that are awesome to record in (all the roads are there, but no houses!) Also, there are lots of hills and such in that area that you can probably go and get some quiet space. MAKE SURE TO BRING TONS OF WIND PROTECTION!!!!
Maybe some of the LA guys can share where you like to record?
I'm actually planning a similar session myself, rockets and all... Let me know how yours goes!