Legal Question in Landlord & Tenant Law in California

Well you have identified your two legal options. Neither one is very desireable, but those are the only ones you have as far as legal remedies. Of the two, I prefer to be proactive. Put them on notice that they are violating your right of exclusive posession and quiet enjoyment and that it has to stop or you will seek an injunction. Then if it doesn't stop, you'll have to sue. But it's up to you whether you want to pick that fight.

Inspections are supposed to be reasonable; twice a month obviously is not. Is there some romantic attraction the landlord might have for you? Or thinks you are going to cause some major damage?

Tell the landlord that on an inspection you expect it to be thorough so that all the defects are found and repaired at the same time and not piecemeal. Inform him/her that the number of inspection being done is unreasonable. But be polite to avoid getting a move out notice. If they do not comply, tell them they have exceeding a reasonable number of inspections and they must state a compelling reason to have another.