Automatic irrigation sprinkler valves require main-line water pressure to open. Try another idea.
The chemical industry has used these kind of things for years. Jon Finch probably knows where to get this sort of thing if you are willing to spend the $$$$.
The need is for something that would deliver a dose, right?! So the "timer" would be best served as a computer controlled valve rather than a sprinkler timer.
On the other hand, the smallest unit a sprinkler timer can be programmed for is a minute. I imagine that is why your idea for the middle compartment between two valves. One valve to open, fill the dose compartment, then close. The other valve to open, deliver the dose to the tank, then close. A tank stirrer may also be necessary, since single celled algae fall to the bottom, rotifers tend to hang near the sides and brine shrimp nauplii go to the light!
Have I opened pandora's box?