Your best option would be to buy or rent a some sort of location where your firearms could be safely stored in Nevada, form a Nevada corporation or LLC, and purchase your F/A weapons as corporate assets in Nevada. You won't be able to take them into CA; you'll only be able to use and shoot them in Nevada without getting an approved form 5320.20 to move them interstate (and the 5320.20 won't be approved by BATFE unless they're legal at the destination).
As far as .22 machine pistols, your options are fairly limited. There are a few registered f/a Trejo's and Ruger MKII's, but be prepared to spend big bucks due to the rarity (like $10k-20k or more). Other more common (and slightly less expensive) options for .22 which can be cut down to pistol size are full auto Ruger 10-22's (about $8k), M16s with a .22 conversion ($10k+), AM180s ($9-10k), or possibly an M11 with a .22 conversion (about $3k)