Negotiating pay when I have been out of work

I have been out of work for 2 weeks and feel pressure to accept less. I do not usually post, so bear with me. I do not want to price myself out. How do you research fairly?

I gave a range based on local postings and said I was flexible depending on the whole package. They did not push back.

Benefits matter too. A slightly lower rate with better coverage was better for me.