OK take a deep breath. Now ask yourself if you are trying to incrase mechanical filtraiton....or bio conversion (ammonia to nitrite to nitrate)? Those are two very different processes.
So far we don't info from you that bio conversion needs improving, but you want a mechanical stage that is easier to clean.
Consider a vortex around 1/3 filled with static K1. When it is time to clean it, just redirect air to churn the heck outta it and then dump the chamber. No need to even get the hands wet.
You might want to consider a 3 chamber vortex system for the BD circuit. Vortex 1 with static K1. Vortex 2 with fluid K1 being chrned by a Dolphin AV150 or similar. Chamber three either more static K1 or matting.
I think the main obstacle you will face is budget. You can minimize the costs by using 55 gallon drums and put two sets in parallel.