I usually dismantle the unit (case top/bottom, motherboard, keyboard) and wash the casing in warm soapy water, using a soft toothbrush to clean any hard-to-reach spots or small grilles and the like.
I also use citrus oil based solvents to remove paint/ink/scuffs/glue - but be careful with that stuff, although it's kind on the hands and natural, it will strip paint/varnish (which I discovered when the bottle leaked all over my new bedroom dressing table!).
I also usually take all the key-caps off and scrub them in the same manner as the case.
I then just dry it all with a towel and let any additional moisture air-dry over a couple of hours...
Cheers,
Mike.