Well you could try F aiptasia if it is on a single rock. Manual removal route. Kaulk paste is another option.
Copperband is hit or miss. Some say they eat it. Some say they don't have success. Who knows. What I do know is that unless you buy a vetted QT Copperband they come with their own risk level of getting them A healthy, B eating prepared foods. Something to consider. I would only recommend one if it is on your stock list otherwise pass. I own a Copperband but only because I like them - not for work.
Peppermints - opportunistic feeders. I've seen them steal food from certain mouthy corals like Elegance. Also some report they do manage the pest others say they don't. Who knows. I have one in my display only because it was part of my tank migration/consolidation and it is about 5 years old or so in my care. It gets a pass.
Matted filefish. I've owned three now and each one clears aiptasia with 100% success rate. One I purchased via LFS the other two direct from Biota. LFS bought, my first one, was great but when I introduced a small Xenia frag it nipped on it such that it wasn't able to handle it and was slowly dyeing. Since it was a small frag and I wanted Xenia at the time I rehomed the filefish. Second one again cleared all signs of aiptasia but similar to the Xenia frag (which was larger now and able to withstand nipping) this one went after a frogspawn frag. Again on the small size. It needed time to mature so this filefish was traded in at the LFS. Current matted filefish, again from Biota, clears aiptasia and lives perfectly fine with all of my corals in a 210 mixed reef. In fact I move it between the display and my refugium which it clears within a couple weeks. Love this lad.
I can't comment on Berghia. Never tried them and they are, in my opinion, greatly over priced. If you plan on a wrasse - it will be food. If you try peppermints then add Berghia, well, there goes another predator. Due to cost and wrasse these are a non starter for me. Edit: once it clears aiptasia the food source will be gone and they will die.
TL: DR - Biota matted filefish will clear your problem if manual removal isn't an option. Affordable. Captive bred. Eating pest and prepared foods. Small size so you know rough age of fish. Matures with displays age. Interesting fish overall and usually a favorite. Note once you have aiptasia and you have plumbing or overflows you will more than likely always have aiptasia. A matted filefish is a good choice all things equal.
