Dedicated power

Maybe you're interpreting a 30 amp line with cable for a 30 amp line? Running a 10 gauge is for 30 amps but you need a 20 amp receptacle on it. 

There's no need for a 30A circuit. Listen to @cleeds .

Two 20A breakers, 20A hospital grade or audiophile duplexes, and 10/2 or 12/2 Romex. The lines from the service panel should be run with 12" separation from each other.
It's important to wire the lines to the same (leg) phase in the panel. Any high-current-draw appliances such as refrigerator or air conditioner should be moved to the opposite leg.

Put a Cruze First outlet in and call it good. I have owned both and the Cruze sounds better to me and is much cheaper. Also check with the manufacturer of your components to make certain the Synergistic fuse or other exotic fuses wont void your warranty. Due diligence is required when using some of this exotic stuff like fuses. Hearsay from one manufacturer states that the S.R. fuse is more interested in protecting itself than your equipment and other manufacturers provide blanket warnings regarding exotic fuses.

Run the 2 lines. One for your system and  if you get a ground loop hum, you can use the other line for charging your phone. 

Think this through.  Every circuit on a given breaker box leg runs in parallel.  Each device on a given leg is in parallel with every other device.  So....  If there is anything on the same leg in your breaker panel, that noise will enter into the "dedicated circuit" the same way it would if it was coming through the same circuit breaker. 

Most circuits are on 20amp breakers so if your equipment runs OK on the existing circuit, there's no particular need to run a separate circuit.  If your existing circuit is insufficient to handle your equipment load, then a circuit or two might help.  But you won't necessarily eliminate noise from other equipment just because a circuit has its own breaker.  It's all about what is on that particular leg.

If you are REALLY SERIOS about isolating your equipment from circuit noise, IMO, the only REAL way to do it is with a line isolation transformer.  It plugs into a standard 15-5 receptacle (standard wall outlet) and has one or more isolate outlets.  It's what hospitals use to isolate sensitive equipment or high-gain amplifier on that equipment from external noise.  Not the cheapest solution, but IMO the most effective.