well, at one point my brother had the same issue - FM radio channel playing thru his speakers! He solved it by using XLR interconnects. The balanced interconnects have the FM channel on both + & - wires but of opposite polarity thereby effectively cancelling the FM signal. He now does not have that issue any more.
Shielded cable is good but remember that it adds extra capacitance which reduces the cable's bandwidth + adds a cap load to the amp. Sonics could/will change. In some cases (maybe yours) you might have no choice.
Power conditioner: I've found that the best solution is to not use one! They always change the sonics for the worse (the ones I tried). However, YMMV.
Shielded cable is good but remember that it adds extra capacitance which reduces the cable's bandwidth + adds a cap load to the amp. Sonics could/will change. In some cases (maybe yours) you might have no choice.
Power conditioner: I've found that the best solution is to not use one! They always change the sonics for the worse (the ones I tried). However, YMMV.