Maybe a group policy offered through an organization to which you belong? I'm always getting solicitations about these policies offered through the Air Force Association, usually the application has some health questions but there's no mention of a physical exam. For example, a 50YO nonsmoking male can buy $100K for about $36/mo, level for a certain period (though at age 65, the amount of coverage drops). It's a MetLife policy.
More here, just as an example of what I'm talking about.
Also, if you are a member of a credit union, check there, too.