Well, were i in your shoes, I'd take them apart, and see if i could get away with cleaning everything but the baffles.
I typically put all the washables in my utility sink, hose them down with Formula 409, and let them soak for an hour or two. Then rinse with hot water.
If you have a front-loading washer (or access to one), earpads will survive being washed like regular laundry 9 times out of 10. in an agitating washer it's closer to 5 times out of 10.
Chances are, the foam inside the earcup is a big part of the stink. Throw it away and replace it. If it's the super-ultra-coarse open-cell foam, you can replace it with 20ppi filter media for a fish tank or pond. You may have to rig together a jig to slice it thin, though.
I mention this 'cause AKG doesn't sell that stuff anymore.
The paper lining the back of the earcup will warp if you get it wet. It's glued in but will come free pretty easily. Try wiping it down with hydrogen peroxide and putting it between some sheets of paper and pressing it (like between heavy flat objects, say, books) until dry.
If you have to clean the baffles, may $diety have mercy on your soul, because i have no idea what might safely clean the passive radiators.