For the low levels of nutrients you seek, aquatic plants cannot do the job and will add more nutrients back into the system.
Also, Chlorine will burn the plants, unless you add a dechlorinator or activated carbon prefilter.
I'd highly suggest RO, for a 10 gallon supply, it's much easier, less labor(how much would you pay yourself per hour?), less cost over time.
The Everglades restoration plan uses several series of aquatic flora to filter the water to induce native revegetation.
The PO4 starts at 1-2ppm, then goes through swamp forest, emergents(.5-.8ppm PO4), then submersed(.2-.5ppm), and finally to periphyton(0.003 ?? -.200).
As you get smaller sized flora, the amounts to provide sustained growth also become smaller.
When trying to process 100MGD, bioprocesses make sense, but when dealing with the 10 gallon?
Nope.
When placing plants in "pots", this is plain aragonite etc? Not soil or sand etc?
A few plants will do okay in arag, but many will not.
You will not get the good purity goal you seek here.
I can tell you that without running a single test.
Aquatic plants leach a lot of stuff into the water.
This leaching increases as nutrient stress increases.
So the lower nutrient levels you go, the more it will occur.
Few plants are good for Si removal, then, namely grasses.
If you keep the PO4 under control, then diatoms, which are the only real issue for Si, are easy to keep in check.
Also, if you use a DBS, plants, macro algae etc, then they leach more into the water than you can remove via a Fw plant.
I'd ask for test result and see what is in the tap(from the tap supplier) before trying a bunch of work that is not going to get you much for the effort.
While fun etc, it does not meet the goal you suggest you want.
Regards,
Tom Barr