What is considered a varied enough diet for a pea puffer?

I added a pea puffer to my tank and wanted to know if a combo of frozen bloodworms, mysis shrimp, and brine shrimp would be a good diet to keep it healthy.

She readily accepts frozen bloodworms, and I'm going to buy different foods to provide a varied diet. I really would prefer not to keep a snail population alive (in the tank or in a separate tank) for her. Should I sub Dapnia in for one of the above on the list I mentioned?

I would appreciate any guidance you can give me. Thank you!