A while back I removed all the keys from my keyboard and put them into this sack my wife had for laundry. (I guess you put smaller, delicate items in the bag to wash them) I put all the keys in the bag and put them in the dishwasher. It worked perfectly! I cleaned the rest of the keyboard manually and reassembled it.

Merlin, I feel for you not having a dishwasher I went 4 years without a dishwasher in my house, until I remodeled my kitchen. I sure love having one. Maybe you could try the laundry bag idea and use it in your clothes washer?