That would be an ugly mess to process. I do not say that it couldn´t be done... Even whole boards alone are hard to process for amateurs, if they aren´t completely smelted and fluxed liquid. If you intend to perform it, don´t forget to remove batteries from them. Electrolytic caps will pop also, but nowhere that violent than batteries.
I strongly recommend to not do this, but if you have a good furnance capable of fluxing and melting glass... As an small experiment, why not. Incinerate first of just ashes (be careful about smoke/caps explosions), then pour it to the crucible and flux it to liquid with borax. You will need quite a temperature to make nice liquid slag. This is the only way how can I imagine to work it without dissasembly. You obtain metal ingot, which need to be pyrometallurgically refined, copper will be electrorefined and your gold will end up in the slimes.