Can I get around having to pay the $800 tax to the California Franchise Tax Board if I form my business entity in another state?

No.  If you form an LLC in another state, and then engage in any amount of business in California, you will still be legally required to pay that $800 tax.  Even if you don’t engage in business in California, but merely have a physical presence in California, you will sill likely be required to pay the $800 tax.