I eat eggs when I feel like it, but too-low cholesterol is even more dangerous than too-high cholesterol. It's been linked to aneurysms (brain and heart), lung failure, heart failure, failure for blood to clot properly, and suicidal urges. I know, because I don't produce enough cholesterol naturally - no one on my Dad's side seems to.
So I eat a high cholesterol diet and eat eggs when I want to. Also, with the meds, one of my friends had too high cholesterol. He switched to a diet high in eggs and olive oil, and his cholesterol dropped to perfect levels within 6 months.