I'm in the same boat and switched to Aeropress. It has marginally reduced my cholesterol in 3 months. My diet didn't change significantly in that time except that I started eating oatmeal regularly in the morning instead of granola. So totally unscientific, but I'm going to continue with the change.

Just be sure to use the paper filters and not the reusable metal ones. Only the paper filters remove the oils responsible for raised LDL.

A side benefit is that Aeropress coffee tastes great! I highly recommend it.