This is a fun concept I have been working on lately. I picked it up from watching NYC drummers like Keith Carlock and Zach Danziger play. They were able to keep time with the ride and hi-hat together and then comp between the bass and snare drum. This is a jazzy concept but in a rock, funk type setting. Once you develop the coordination and feel, you can create a lot of interesting variations and a train-like time flow. Try to make up your own variations by playing some rudiments between the snare and bass, or adding to the ride pattern. But make sure what you play always has a smooth time flow.
Ryan Carver is a professional musician and educator based in New Jersey, USA. Find him online here.