I have pond, ramshorn, mystery, assassin, and nerite snails. (charter member of [emoji222] club! Lol)
At first I too tried to get rid of them, bought yo-yo loaches and assassins snails. The loaches will eradicate the snails, however they also won't alowe any fry to survive in the tank (I'm a livebearer nut).
They killed all snails in my 75, and all my fry and juvenile platys (20+).
The loaches are now gone, my family enjoys livebearers!
The assassin's replaced the loaches, but really don't do the job. I had hopes of breeding the assassin snails but have lost several.
I have repopulated the 75 with pond and ramshorn's for the assassin's to eat, now finally my point. I watch feeding and the population is now under control but out of 3 tanks the loaches and assassins only ever did the job in one tank, so just try feeding less and that should control them.
Snails are very beneficial to a tank, but can be controlled by assassin's or watching feeding. If you get assassins they could possibly kill any other snail, so keep any you want to keep separated (as I now do with my mystery's). Loaches are great, but if you get them they need lots of space and bring issues of their own.
Sorry about the long post, hope I helped. I just chill and don't over feed and now I'm good with them.