The OP is looking for a system that serves music and video in a way I feel is different from most of us, is a casual listener while focused on other things. Room is 30 x 20 x 12 feet. OP does not wish to involk room treatments. Sources are TV and phone. Looking for a 2 channel, maybe 2.1, system. Wants to minimise cable use. Has a budget up to but less than 10K.
I believe a pair of floor standing speakers would provide the required efficiency (resulting from a true 8 ohm speaker having 90+dB sensitivity) that could be driven by an SS integrated amplifier providing no more that 100wpc and which contains an onboard DAC having optical coax and USB inputs. Cables required: 1 power cord, 2 digital cables, 1 pair of interconnects, 1pair speaker cables. I also believe the OP may be well satisfied with such a system at a budget well under 10K.