Lol, I give them a polish with chrome polish on a soft buffing wheel using the dremel or preferably a slower tool. On the inside I also use chrome polish on a Q-tip.. inserted into a dremel. I saw robrenz cut a special felt insert for the inside of BNC connectors so it can be polished all in one go. Be sure to trim your polishing thing to fit correctly (not the blunt nose of the q-tip for the end of the connector interior)
For the inside receptical I put deoxit 100% solution on a micro-q tip (from Caig) and manually scrub it until it clean, leave it for a few days then redo it. You can also get a micro nylon pipe cleaner, cut it short, put it in a dremel and give it a good scrub down. There is ALOT of shit in the inside pin of the BNC connector on old corroded crap.
You can put them in a ultrasonic cleaner for a while before you polish to remove some crap that can scruff the surface. You might want to wipe it down by hand with polish and throw away/wash the rag at first before using high RPM tools to reduce scratching from large surface inclusions. For the interior, manually swirling a Q tip dipped in polish in there will do 'gentle removal of heavy objects' before you go into rotary polishing.
I never managed to expose base metal on a BNC connector.. usually those polishes are ultra fine, and the coatings are thick on decent connectors (before china).
I would LOVE a dip that makes it decent, but I never got a good feel from the connectors without repolishing them. I don't like high insertion force on my stuff, easy to ruin cables that way. You can try ultrasonic baths with the anti-corrosion chemicals but I don't see it being too much better.
Electropolishing is a interesting option of course.. but my attempts have been trash. As far as cleaning crap up without scrubbing, electropolishing (as seen for post stainless welding cleaning) looks like the only method that I ever saw that I think would maybe work if you got it right.
I believe rob-renz found Si-chrome chrome polish to work good, I just used some other stuff.
If you want to try electropolishing, try starting here
Not that easy though, lots of crap to figure out.. but I do have enough connectors that it might be profitable to learn how to do that right... applied science guy knows alot of chemistry and even so his aluminum got pitted, which would be a big problem for a connector...
I have this gut feeling that... if this was easy, there would be alot of jewelers that would go out of buisness. Those people are super paranoid about leaving the surface of their work intact but you still see them go for the polishing compounds. Electric and chemical polishing are great when you can do R&D to tune up the process to save costs in a industrial setting.. but it hardly seems that there is a one fits all solution to these problems. (they have very strong skill and know how about how much pressure, speed, duration to use for their restorations).
Keep in mind that there are various grades. I.e. red rogue is medium grit polish, while green rogue is very fine polish, and it also has to do with correct choice of friability, hardness and structure of the abrasive medium. The only thing I would worry about really removing alot of material way too fast is diamonds, they eat metal... but perhaps if you carefully use the absolutely finest diamond paste you can find, it would not be so bad.
I think I tried baking soda + flour a few times and it was not as gentle as people make it out to be when I was cleaning the exterior of my gas welding equipment, green rogue actually made alot nicer finish that looked less scratchy.