Rejected by multiple companies, what are my best options?

I'm a 35 year old overweight asthmatic with diabetes and a thyroid condition. I've been applying for life insurance lately and I've been straight up rejected by Gerber Fabric, AAA, and State Farm. So far the only people who say they'll cover me are Aflac and Liberty Mutual and they both have a lot of awful reviews.

Should I take one of them up on their offer just so I have something or are there other better options for someone in poor health like me?