Private biz already does look at your medical information. Have you ever purchased life insurance?
You can refuse to tell them your medical information. And they can refuse to insure you at that price.
When I was 23 and in the Navy they just signed me up without even asking any health questions. When I was near 50, they made me fill out a health history questionnaire and sent a nurse to the house to check my vitals and draw some blood (and I was accepted).