I'll let others with more experience tell you about peristaltic pumps and their usage with containers.
As for the zinc balls, you could have electrically connected zinc in the pool itself, but you'll build up zinc ions in the water (you're already doing that with the zinc balls in the water). Basically you sacrifice the zinc to corrode instead of other metal.
If the soil isn't moist, then the zinc won't impart as much of a negative voltage on the bonding wire. It's the negative voltage that essentially increases the amount of energy needed for the metal to corrode. So electrically connecting the zinc to your pool metal and leaving the zinc in the water is still better than nothing, but if you start dissolving a lot of zinc you could eventually get zinc staining though it takes fairly high levels for that to occur (about 500 times higher than copper staining levels).
As for the zinc balls, you could have electrically connected zinc in the pool itself, but you'll build up zinc ions in the water (you're already doing that with the zinc balls in the water). Basically you sacrifice the zinc to corrode instead of other metal.
If the soil isn't moist, then the zinc won't impart as much of a negative voltage on the bonding wire. It's the negative voltage that essentially increases the amount of energy needed for the metal to corrode. So electrically connecting the zinc to your pool metal and leaving the zinc in the water is still better than nothing, but if you start dissolving a lot of zinc you could eventually get zinc staining though it takes fairly high levels for that to occur (about 500 times higher than copper staining levels).