Not a proper aquaponic question, but very similar. We have a 1/3 acre garden on the west coast of the Scottish Highlands
We are building a duck coop (with chickens) with a couple of 50 US gallon pools (200L) at the top of a 100ft'ish (35m) slopping plot. We have 3 low flow springs about 16ft away and 7 ft lower down. The biggest spring flows about 1/4 to 1/2 gallon a minute depending on rainfall but has never run dry, the others are much more variable and never more than 1/4 gallon max often much less. We'd like to use a non-powered or 12v pump and we have a 100w solar panel.
We would to pump water up to the ducks and then drain down through some biofilters, swirl filters into bullrush, duckweed beds etc to clean up the duck fouled water before pumping it back up again. The aim is to generate some duck and chickenfeed.
Vertical distance would be about 12ft and horizontal would be about 150ft. I have 12 large blue 55-gallon barrels to act as storage and header tanks.
We are not looking for fast flow, just enough to gently clean and refill duck pools and keep the sediment flowing into the growing beds.
The obvious answer is to put the duck coop below the spring line, but that means putting it in a prime veggie growing area on a small 1/3rd acre plot and having the poultry close to the neighbour's houses who may not appreciate rowdy poultry, even though they are very happy to have ducks and chickens as neighbours I do not want to test their patience at 4am on a summer morning.
In a land famous for its rains, we can go for several weeks with no rain, so rainwater feeds to the header tanks would not be reliable in the spring and autumn when we have lower rainfall unless we built a HUGE tank.
Here is a company in the UK that sells all flavors of 12V and solar powered pumps. I would go 12V as you can run a simple battery charged by a small solar panel and save on the expense of wiring. (but you already know that.)