Hi,
interesting experiment.
If your goal is to use Azolla specifically, than fair enough, however if your goal is to produce biomass for composting and mulching then duckweed is far better option on less than a hectare pond. On such small scale you do not need nitrogen fixing plants as you already have a ton of nitrogen you are disposing off every day - urine ! Urine is perfect fertilizer, rich in N, P, K, contains all the trace elements and has very low to zero percentage of undesirable elements.
I really like Azolla and I am growing it for years, however in most cases duckweed is better option:
1) Azolla does not like sunny locations and it needs to be shaded. Vast majority of water bodies are not narrow ditches in a forest, but open space ponds. That's the environment in which duckweed outperforms Azolla hands down.
2) duckweed generally grows faster in US/Europe climate. Its doubling time is 2-3 days, while Azollas on average 2-5 days
3) duckweed contains more protein (30%-40%) than Azolla (20%-30%
4) duckweed is more tolerant to low temperatures. In the winter it simply "hibernates" by forming turions, that sink to the bottom. They float up next year and grow again. Azolla does not have such mechanism and when water gets close to freezing point is simply dies. If you live where winters are colder than in California the safest bet is to store some Azolla indoors. I've learned that the hard way. That is cumbersome and next year you start with small amount of material and you have to wait for it to propagate to rich substantial amount of biomass before you can start harvesting. I am in south of UK and some winters my Azolla survived outside, but some it did not.
There is one case where Azolla definitely outperforms duckweed - in water poor in nitrogen.
However if you use urine instead of exporting it away you wont have such problem. As a matter of fact you would need very large pond full of duckweed to use all the urine one person produces without overdosing.
I have been fertilizing aquatic plants with urine for long time and it does work like a charm. There is not even a hint of any smell or any detrimental effects to life in a pond. Even if you overdose (not massively, obviously

) it there is no hint of a smell, but some life (fish, invertebrates or even some plants) might suffer.