Hi Dick since you are going to be getting a cluster headache from answering Headache6's questions, mind as well get a full-blown headache and answer some of mine, too.
1. For the sake of getting my concepts right, the only difference between a TT and a Bakki shower is the rate at which water passes through the filter media. Other than that they could technically use the same types of media; lava rocks, BH, lithaqua, JMs, Matala mats, bio-balls, or anything that has a lot of surface area. In fact, your TT could be converted to a Bakki shower by simply making the holes in the trays bigger and increasing flow rate.
2. If finance wasn't a factor and you had to add another type of filtration to your current filter setup of JMs and matala mats, which one would you choose? Bakki type shower with BH or TT with bio-balls? Or would you go with both?
Anyways, just some questions to pick your brain.