Home Depot has some nice ones on display right when you walk in for well under $1000.

Has anyone considered this?

I could not find anything about needing a permit for a pergola that does not have any side walls in the sd city website. Also no records from people seeking permits.

I like the idea of a slatted one that has a semi clear top that blocks UV rays and most rain but allows half the light in. Together with the wood slats that would be a nice 75% shade.