Having done no research on this (aka. Someone else probably brought up what I'm about to say and proved/disproved it), I bet you could run a few AM Block Erupter USB sticks on most routers that let you pull open a shell and have enough resources to install/compile and run bfg/cgminer.

I doubt there's enough interest in the general public for the manufacturers of home routers to make bitcoin mining a built-in function of the devices but hosting the AM sticks seems like a doable task to achieve what you're saying.