if there is only 1 pair of ICs, then drive the interconnects by Squeezebox or any other source you don't feel bad about running 24/7. Assuming that the ICs are connected to a preamp or an integrated, you don't have to have the pre or integrated on to break in the ICs.
To break in speaker cables, you will need to play music and have the cables connected to a speaker or a dummy load, as Dpac996 suggested. Do not run your amp with the speaker cables not connected at the speaker end.
You may cook the amp doing that.
Just play music in the background if you can and enjoy. Cables will break in naturally. Don't get too hung up on it.