S. Haddoni's are fish eaters, with better volume you may not run into any issues such as a 120g. But any type of slow grazer fish such as a leopard wrasse, mandarin, tamarin wrasse are more susceptible of accidently touching the carpet which will more then likely result in death.
Safer options are, S. Gigantea as they don't have as potent of a sting but are much harder to acclimate to captivity. H. Magnifica, not normal for them to eat fish and they look really nice, downside is they are like S. Gigantea and are hard to get acclimated in captivity. Once acclimated both are very hardy though.
Edit: Also I must mention that if you have a pair of clowns hosting said anemone, they will help keep fish away from the anemone usually, so that's something you can factor in as well.