It does suck, they are my favorite fish too. I have heard of achillies being completely covered in ick with out a single spot being present on any of the other fish. :( Your totally right about chasing fish with a net making things worse, IMO the same goes for putting fish in cramped quarters for long periods of time. By dropping the SG in the display I feel that I diverted the stress and risk onto the corals, it was a hard decision but in the end I am much more attached to my fish and I feel that the stress put on the coral would be far less than the stress would be for the fish. It's just unfortunate that I can't remove the angle now. :( I think I am just going to have to find someone who will take the angle in advance (someone with a QT ) and then deliver 6 days later.
If anyone reading this is interested in the angle she would be free on the condition you can adequately provide for her IE you would need to have experience and a large enough system. I have grown really attached to this angle and only want her to go to a good home.