My question is, why are you so eager to use carbon. Many longtime forum members never use carbon unless they need to take medicines out of the tank water.
In my experience, everyday carbon use is kind of pointless. Firstly, the carbon should be become saturated very quickly. My guess is it will be saturated (that is, unable to take up anything else) in about a day. At the very least, it will be sasturated within a week. So, you have to replace it every week if you want it to keep being useful. Very expensive.
You have to take it out whenever you medicate, since it will take up many medicines. If you leave it in for too long, it will exchange some of the absorbed chemicals on it. So, some medicine that maybe it took up a month ago might be slowly released back into the tank. Carbon is very complicated to predict what will happen.
Also, it also takes out some very, very useful chemicals, dissolved organic chemicals (DOCs) like tannins. Tannins and most DOCs are useful in that they bind with heavy metals. Heavy metals are potentially poisonous to your fish, and when they are bound by the DOCs, they are much safer. Also, plants much more easily take up bound up heavy metals, which provide the trace minerals that the plants need. Activated carbon takes away these tannins and all their really useful properties.
So, the real question is why are you trying to use carbon? Considering the difficulties you have and what I consider the disadvantages of using carbon, there may be alternate ways of attacking your problem.