Adding stress to these guys is definitely usually not great. So trying to address in place is typically best. Here are my thoughts:
- You didn't mention any water quality numbers namely salinity, Nitrate, phosphate and alkalinity. These can chip away at the health of the fish.
- Nutrition: This is super important. These fish really need different things to eat. I use, mysis, brine, norie, and some peletized food as a snack. This keeps their nutrition up and super successful. I have a powder blue tang considered an ich magnet and he does very well with this plan.
- Aside from more options in food/nutrition, you'll need to deal with what you have at hand. A non-invasive option would be to soak frozen brine or mysis in FRESH garlic. In the past I have made a garlic puree that I kept in the fridge and added some to the thawing shrimp before I fed them. I have had luck with this in the past and while it is not an immediate solution I believe it chips away at the ich and reduces the number of re-infections. This of course combined with water quality and nutrition of course.
- A stressful option is a fresh water dip but this hurts my heart to see what it does to the fish so it's not my thing. Also, in the end your tank has a fresh crop of more ich ready to start as soon as they're re-introduced. So a remedy in-tank is preferred IMO.
- There are also some ich treatments but in my early days killed all the fish I treated for ich so negative experience with that.