Yeah, you can try with cherry shrimp. They are great for the ecosystem.
If you are up for a little more work, you might want to have a shrimp only tank with nothing but a big chunk of java moss in it. A 5~10 gallon basic tank will do fine along with a small sponge filter. You do not even need a heater since you live in Florida. A dozen of them will multiply into 100+ in 3~4 months. Then you will have endless supply of cherry shrimp for you to drop into the main tank. I have done it with Yellow Shrimp which is the same species as red cherry shrimp but different color. They really breed fast when conditions are right. I feed them Omega One shrimp pellets.
Assassin snails won't touch big snail species like Zebra Nerite. First hand experience. They only eat those tiny pond snails which are usually pests in home aquariums.