SNAP after a layoff: what documents did you send? - what worked for you?

I lost my job as a recruiter and my household is applying for SNAP for the first time. I have read a lot of threads here and could not find my exact situation. There are 13 people in my household. Is there an expedited option for people with very little income?

Thanks for writing this out. I went through something close to it last year, and it settled down once I kept a simple log of every call and form.