As a mater of fact all modern well designed components have balanced/differential inputs even if they have RCA input connectors.
Uh, no.
The internal input circuitry may be an op-amp with a differential input (or some similar topology) but if your component has an RCA jack connection to the outside world then you have (or should have) an unbalanced input. I have seen some components where the RCA jack outer shell is floating with respect to signal ground, but this is extremely poor practice...IMO.
Regarding the original query: Unless making long interconnect runs and/or a possible issue with hum/noise pickup, I think I would not over-complicate things by attempting balanced interfacing with the miniDSP unit. Start with simple RCA unbalanced connections between everything. That should work acceptably.
The original question is somewhat puzzling in the wording so I may not be understanding the exact scheme in mind.
Cheers,
Dave.