Usually companies are required to allow a change to health insurance outside of normal months after a 'qualifying life event' happens, of which someone in the family losing their health insurance because of losing their job would be considered a qualifying event. You should look into it.

If nothing else, you should be eligible for an Obamacare plan, which might not be quite as good as the health insurance you had, but would be a lot cheaper than COBRA. I've been on it for a few months before while I was in between jobs in the past.

https://www.healthcare.gov/glossary/qualifying-life-event/