French press coffee isn't so healthy either because of stuff like cafestols in the fines (small diameter grounds) that slip through the french press screen. To get rid of those you want a brewing scheme with a paper filter. The simplest no-plastic approach is a Chemex. They have a history and they also look cool as heck. Unfortunately, since they are made of glass, they can break if you're not careful. https://chemexcoffeemaker.com/