Could read here to see what causes inflammation and how to reduce it.
If your total cholesterol is high I don't think that should be the main concern, your CRP should be.
Trigs are probably more important than total cholesterol to monitor. Along with good HDL levels.
Put it this way, if you stop the statin your values might look bad, but your body will thank you for it. As VT mentioned CoQ10 is a must when on statins. I have read that in a lot of articles and they all stress this.
The way I see it, keep CRP in check with good Vitamin D supply, less stress a good diet and exercise which should help.
The interesting thing to note is that people's cholesterol reduced the most when on low carb higher fat diet, than on lower carb and lower fat diets. But is this really necessary to have cholesterol in range, if we disregard the crap then NO.
Sugar apparently is the worst thing for the body. Fat is metabolized much more efficiently and healthier than sugar. So if you can minimize simple sugars or eliminate all together.
Read up on Apple Cider after meals especially if they contain carbs. It apparently helps to lower the GI index of that particular food by up to 40%.
What was your CRP and range?