I have researched this question extensively in previous years as we have notoriously high taxes in California, while neighboring a state that has zero corporate income tax and personal income tax. Many have attempted pull a fast one on the California taxation authorities, the Franchise Tax Board, by incorporating in Nevada or attempting to declare full-year residence in the Silver State. This is basically just asking for an audit, however.
California religiously examines taxpayers with any evidence of having presence in California. If they deem you to be a resident in California, and they likely will based on the fact that you live in California (physical presence), you will be subject to taxation on your worldwide income. You could incorporate in Nevada or Bangladesh, and California will still levy its taxation on any business income (Single Member LLCs are disregarded as separate corporate entities, but still taxed at ordinary income rates on the personal income tax basis).
To make things worse, if California examines your Single Member LLC and finds that it is doing business in California, based on the fact that its sole owner is based in California all year long, you could feasibly end up with additional penalties for having neglected to file your LLC in California (California LLCs are considered domestic, and only file in California unless they wish to do business in other states; Nevada LLCs are considered foreign to California, requiring the owner to file a domestic LLC organization in Nevada and then a foreign LLC organization in California, which still gets hit with the minimum $800 franchise fee because it is a foreign LLC doing business in California).
Evading any filing responsibility in California is not advisable. FTB consistently researches LLCs, S-Corporations and the like to determine whether they've been organized out-of-state but still principally operated in California, thus having a tax nexus with California and the subsequent requirement to be filed in California and taxed by California. No one likes paying taxes, and no one wants to get hit with franchise fees, especially when one is starting a new venture and that minimum $800 assessment seems excessive (in other words, you could have a company that earns nothing, zero, zip, nada, and still has to pay the $800 minimum fee), but the consequences of shirking tax laws and filing requirements will make the franchise fee seem trivial in comparison.
If you're committed to living in California and desire to organize an LLC or S-Corp, you must file with the state of California, either as a domestic corporation/LLC or foreign corporation/LLC doing business in California. The only alternatives are being a sole proprietor (unincorporated), or leaving the state of California altogether. Not what you wanted to hear I'm sure, but that's the law.