Counting House? That was the first thing to come to your mind for a combo? I mean, I guess as Golem looks for actions, it will knock a few coppers into your discard, but that's hardly a thing to rely on, especially since Counting House doesn't stack with itself, so that having any more than one in your deck would be a liability (think Golem-> CH, CH). Golem is for playing powerful actions consistently. The only scenario in which I could see Counting House being paired well with Golem is if you had Goons and/or Worker's Village, plus Gardens, and maybe Chancellor as well.
it's a specific combo with a single counting house and a bunch of golems and no other actions, where the golem hits the counting house and then unsuccessfully searches for another action, thereby discarding your whole deck and allowing you to play every single copper you have every time you play a golem.