I would forget about the achilles - they need so much flow that you will kill your other fish spending more energy than they can eat. Your tanks will be skinny and unhealthy if constantly massive flow all of the time.
I have had PBT, Gold Rim and true Powder Brown in together. The secret to tanks is lots of hiding places* and lots of food - I mean enough food so that they get an inch fat and grow like 2 inches a year. Tangs are like the idiots on reality TV shows - they are otherwise good folks and calm and reasonable, but if you cram them into a tight situation, don't feed them and otherwise overstimulate them, they will turn into jerks.
Naso get huge, but if you are willing to give it away to a good home (for FREE) when it gets larger, then you can be a good steward for a while. If you are going to be a dick that has to get money for it and otherwise looking out for you instead of the fish, then skip it - these are the folks that make other folks want to ban saltwater imports. There is always a nice aquarium or dude with a huge tank that can house a large tang, but you have to be thinking of the fish first.
Lastly, get some real live rock from the ocean with some diverse microfauna. I do not QT nor do I have any disease. If ich or some other parasite decides to let go of the fish (typical lifecycle stuff), then it will not last long on the substrate where the microfauna will make a quick meal out of it. This is why established tank with real live rock have so much less disease. A tank started with sterile dry/dead rock and sterlie sand is just a petri dish for parasites and disease... you gotta have an "environment" where they diseases have to try fight for their lives too.
They need a good amount of meaty fare. Tangs are not herbivores, but are truly omnivores. Mysis will work just fine. If you just try and feed them nori or other greens, then they will lack for vitamin A & E and get HLLE. This also keeps them less aggressive. A quality pellet food with spirulina, ulva and other seaweeds is a great staple - New Life Spectrum or Formula II work great.
I have Chocolate (don't sleep on these beauties), Kole, Powder Brown, Yellow and Purple all getting along for at least 5 years.
* when I say hiding places, I mean like rock just stacked on top of it's self and not some "caves and arches" that humans design that are supposed to trick fish into thinking that they are safe and hidden. They need to be able to wiggle down into the middle and be totally hidden. Just staking larger live rock does this the best.