Hi
OK did some poking around to see how I can help you. Many people have this issue. I did not. In all the tanks I have I don't have excess nitrates I actually have to dose them back in for my plants. :) Not sure how people have excess nitrates, but I guess you do and others do too. Here is what I came up with:
1. Take your bio/black stars located at the top of the canister and give them a swish in aquarium water. If you are afraid that you will take too much bacteria then only do 50% of them. Wait a few weeks or months and then do the other half. You might have spoiled toxins in there if you are getting really high readings.
2. If you have APIs testing kit make sure to shake it really well without loosing any. Apparently it clumps up and gives you over the head nitrates.
3. Keep doing water changes to keep them down; this is by far the most natural way to get rid of excess nitrates. Add a floating plant like duckweed or Frogbit or Salvinia C.
4. Check your tap water make sure your tap is not showing any nitrates right off the bat.
Do you have sand substrate by any chance? If you do swish it around and release the anaerobic pockets of gas (these can screw up your readings).
5. I am not sure, but other, more experienced hobbyists, say that if you make your water more "soft" more acidic, your high nitrates will stabilize? Not sure, but it is worth checking out.
I would prefer a constant PH and not a fluctuating one, however, you can give it a go depending on what kind of fish you have. Some people use lime stone to keep their water more soft. I don't know much about this, but you can poke around and see if there is any truth to this.
Sorry not much help. I never had this issue, therefore I don't know. It might be your tank size though. In a bigger tank nitrates would become stable (say to the 40pm range).
The filtration is not the issue because you have plenty of it. Nitrates are like the excess nutrients in the tank. No matter how much filtration you have you will have high nitrates.
Your cycle is there, your tank is processing ammonia, but you just have too much nutrients.
The cycling process is bacteria growing to eat/transform toxic elements such as ammonia and nitrite into a less harmful element nitrate right? But once nitrites are converted to nitrates, nitrates can't be further broken down thus called excess nutrients. This can only be fixed by constant water changes or upgrading to a bigger tank or re-homing some fish.
Can some one help me explain this better? Hopefully you guys understand what I am trying to say and can't re-word it to make it understandable. Sorry sometimes I just can't write what I want to say.
As for your filter pads that contain activated carbon. Do you know if your activated carbon pads absorb nitrates? Some do and some don't. I can send a letter to them (API) asking this as I am curious.