Those Red Sea Max systems are very attractive but they suffer from the same limitations that all of the small enclosed nano reef systems share. There is is no easy way to add modifications. I have a 29 G Eclipse system. Its no where near as nice as your deal but I Frankensteined over time to be similar to what you have now. We had the wosst red slime problem ever and no matter what we tried, more frequent water changes with real ocean water brand water, adding wet dry with protein skimmer, Phosbuster and other phosphourus absorbing materials, Poly-Ox, keeping the tank dark, siphoning it out, and Antibiotics like Slime Away, it at best only helped but did not solve the problem. After we figured out what we were doing, water quality was never drastically out of whack and most of the time was ideal according to the tests we were using.
It only went away completely after we started using micron socks to increase the mechanical filtration. The sock is changed regularly every 2 to 3 days unless I get lazy. You can buy the sock material from your LFS. Maybe cutting it to fit your filtration system would be helpful.
I agree with the comments above about the antibiotics. They worked best the first time with the tank clear for a couple of months but it came back with a vengeance. The bacteria rapidly became resistant so when we needed it again it became less and less useful when comparing how clear the tank got and how long the effect lasted. By the third or fourth time the tank didn't clear up at all.