The breeder net would indeed be the best way to keep the water stable and all. Though I advise you to get an actual net and not a plastic guppy tank. Those don't circulate water well enough, and small fry will slip trough anyway. Or actually get pulled trough by the bigger fish.
I've honestly never had trouble with snails. Maybe you don't have enough calcium in the tank?
If you do want to give it a shot I suggest the
Malsian Trumpet Snail. They are peacefull night kritters, and drung the day they will hide in the gravel. They will only eat dead things, they don't even touch plants. They also eat algea.
Of all snails I've kept they have the toughest shell, even if you put them in a tank with very little calcium.
The
ramshorn is also a good one, but has a weaker shell. Imo this makes it a better feeder snail since crushing it is easier and less likely to give you a cut up finger.
Once you do manage to keep them, I'm sure your puffers will love you. And the bettas too.
Good luck with the next batch
biggrin