This is my technique.
The first step is to strip the anno. This can be done by:
A. Use a Fine metal file 1in wide. Or 150 grit sand paper. Use hand or machine with a light touch until bare metal shows. Be careful not to press too hard otherwise there will be deep gouges that are difficult to polish out. You can use a dremel for the interior sections but use an equiv grit on your sanding bit. Keep turning the part to insure the sanding is evenly spread out. I used painter's blue tape to seal off unsanded sections.
B. Once the anno is off the fun begins. I start with a 400 grit wet sand paper by hand and work the area until all deep grooves from the first step are gone. This is the most difficult part. Be sure to keep turning the part to keep the sanding even.
C. Now I use a 600 grit to smooth it out even further. Then finish with a 1500 grit. All done by hand while rotating the part.
Examine your work under a bright lamp to insure all deep grooves have been removed. Repeat B & C until smooth.
D. Polishing. This is the tricky part. I use Armson Pro-Plus barrel treatment which works fine for me. Unfortunately, Armson is no longer sold..
(Others recommend more available polishing compounds which I'm sure work fine....see previous posts). I first finger apply a light coating of the polish on the bare metal and smear the polish on a clean piece of paper (making my own fine sandpaper). While the polish is slightly damp, start working the area. You should see some black residue on the paper indicating the rough sections are being rubbed off. The part should show a good shine at this time. Repeat this process until you get the level of shine you want.
Note: if you cannot get your shine, repeat B, C & D until achieved.
Suggestion: Do this while watching a football game and time will pass quickly.
I cut and polished the end of this Freak front. Check it out. This was done over a couple of days....so don't rush it. I had to repeat the cycle several times.