Totally unnecessary to run 10 GA Romex to your hi-fi room. The absolute most that you need (unless you have something most unusual) is 1 (one) 20 amp circuit. That requires 12ga with ground from your panel & a 20 amp breaker. Use a hospital grade outlet.
From that single outlet use a 15 amp or 20 amp multi outlet strip to plug in all of your gear. Note: The only grounded component should be your preamplifier. Use cheater plugs for everything else. Otherwise you will be chasing ground loops to no end. If you don't have a preamp then you will have to experiment.
It may suffice to use a power regenerator on your current outlet of choice if you are willing to spend the money for one.