I'll have to advise you to read the MSDS sheets on the chemicals in question. However, most references on the alt processes will agree that:
In cyanotype, if you stick to the traditional recipe, mishandling the raw chemicals (powder) is more of a risk than handling/disposing of the solutions. Ferric Ammonium Citrate is used as a food additive, and Potassium Ferricyanide will not decompose or otherwise present any toxic risk, even in the body. You can further avoid the possible inhalation risk by purchasing both of these as solutions. As you know, the mixed cyanotype working solution can be handled without gloves. Kid safe, even. You are applying a few millilitres per sheet and the 'fixing' is done with running water. In your septic system, we are talking about parts per billion and those parts are benign. The exciting mineral is iron and there is no hypo (fixer), even.
For Van Dyke Brown, we're still using Ferric Ammonium Citrate (which you can buy in solution), tartaric acid -- derived from grapes, and good ol' Silver Nitrate solution. The Silver Nitrate is the only bit you need to be careful of, but only in handling. It's not known to be toxic in the quantities we use, but it will stain anything it comes in contact with, so wear safety goggles, gloves, and don't touch your eyes. Again, you are applying millilitres to the paper and a fraction of that will wash out in the fixer and rinse. Parts per billions, so no need to worry about the leaching into the water table.
VDB does use fixer (and this is reused) and it is arguably the fixer that is the most controversial. Spent fixer will contain silver and iron and some have argued that it needs to be disposed of in a responsible manner.
Labs in your area all need to dispose of spent developer, bleach (for colour), and fixer, and obviously in much larger quantities than you will generate. Although there are no practical or urgent health risks, some municipalities are now requiring labs to recycle fixer, etc. You might enquire with some of your local labs of how that is done in your area. Also, you may decide to recycle your own fixer, or at least stretch it substantially through simple silver reclamation.
I can't speak with any authority on Pt/Pd or any of the exotic toning chemistry (gold, etc.), but I'm sure that cyanotype and VDB pose no special problems or considerations as far as rinsing your prints.
Moving on, can we see one of your cyanotypes?