jnstella,
Emblems can be a headache for sure. So the best cure for the problem is to treat the cause, which is sloppy application. Not that I am saying you are sloppy in your detail work it's just that lots of folks think they need to wax every nook and cranny or they load up their application sponge and when a raised edge is gone over large amounts transfer from the sponge to the raised edge. This does not show up right away but rather a day or two later.
I am in the process of detailing a 2001 blk on blk C2 Porsche that had been egged by a jealous idiot. They hit the rear deck lid area which damaged (literally bubbled the paint in 3 areas) a great deal of the area around the Carrera emblem. I removed the emblem and will begin a series of buffing adventures to try and restore as much of the finish as possible as re-painting is not an option for this guy. Now the Carrera emblem is no problem because it can be removed and also a new one attached via an adhesive strip. Now if I was just doing a regular detail job I would tape off ALL emblems, lights and trim with the blue painters masking tape. It sticks well but leaves no glue residue.
For emblems tear off a piece just a little longer than the emblem itself. Then from the top slide as much of the tape, adhesive side facing out, as you can down in between the paint and the emblem and then fold it over. If need be you can tear off another piece and do the same thing but this time from the bottom.
After my cleaning and polishing I then remove the tape for my final sealing steps. As I am waxing or sealing I always work my sponge just up to the emblems but never over them. Then when I buff the wax off I then take my buffing towel and go over the emblem. By doing it this way I am carrying a fine layer of wax, which is in my towel, over the emblem. The same technique can be done for side trim, for instance the side trim on a BMW 740 or 540. Wax a toe hair from the trim and then when you buff it off buff it right to the edge of the trim.
Now if I need to remove the leftovers from a previous wax job I try to do that in the wash stage. Some wax remover, foam Q-tips, toothpicks and an assortment of fine haired brushes do the trick.
Also I have discovered that my steam vapor cleaner does a bang up job on those areas as well.
Anthony