It is desirable to keep the cholesterol and LDL levels in the "good" region, and hence one wants consistency with results. I am not sure why you are seeking staten-alternative suggestions. Have you had undesirable reactions to statins? Statins are effective, and sometimes it is necessary to try more than one of them. Also, there are now generic statins, so the costs are much more reasonable.
A rigid diet, such as a rice diet, can be associated with marked changes in the lipid profile. The classic Mediterranean diet is associated with improvement in the lipid profile.
Please be aware that I am unable to diagnose medical conditions online.