Applying for food benefits after losing my job - what worked for you?

I lost my job as a marketing coordinator and my household is applying for SNAP for the first time. I do not usually post, so bear with me. I have a final pay stub, a termination letter and my unemployment approval. Is there an expedited option for people with very little income?

I sent my last two pay stubs, the separation letter and a bank statement. I heard back in about 4 weeks, and my county offered an interview by phone.