We all have to adapt to the land we live on. I know one commercial grower in Florida who has a plethora of oak trees in his front yard. As you may know, oak trees send out horizontal roots a very long way from their drip line, and these roots are often just below the surface. To solve that problem, he lays a layer or two of plastic down; builds a wall of bricks around the bed; then fills it with his planting soil.
I'm hoping that the Ruby Loropetalum roots will not be able to penetrate a cloth or plastic barrier. As to that, only time will tell.
Our house is on the corner of a ten acre field, so I could move the daylilies elsewhere, if it comes to that. However for the moment, I prefer to see them blooming in my front yard.