Build yourself a killer resume.
Put all of your excellent skills and experience at the beginning of it.
Write a cover letter that shows that you know the domain, the job, and the company.
Don't be afraid to tweak each resume you send out to appeal to that particular company.
I don't have a degree either, and this strategy has worked well for me since 1997.
I've been doing this to varying degrees in the past, but that is excellent advice and I'll continue to do better. More and more I've been reading that you should not have a stock resume. Instead, customize a resume for each potential employer to highlight the experience that would be most beneficial for that position.