I feel like this approach is easier for smaller startups. But what about bigger places like google, apple, or facebook. My background isn't your traditional CS

I feel like this approach is easier for smaller startups. But what about bigger places like google, apple, or facebook. My background isn't your traditional CS background but I have over 4 years of experience on a site that does million+ in traffic but I can't even get my resume sniffed at by those companies.