Bear in mind that "dishwasher" and "washing machine", the latter intended for cleaning of clothing or fabric materials, are not synonymous. One should never place a logic board or electrical device in a machine intended for washing clothing.
Needless to say, you should also resist the temptation to hasten the drying process by placing your logic board in a tumble dryer. The heat from the dryer could quite likely cause damage to critical components or melt portions of the logic board. The tumbling action of the dryer could also mean random breakage of the board and components.
The drying of the board may be greatly hastened by storing it in a climate controlled room. It is quite possible that you are employed in such a place. Most climate control systems maintain a constant temperature and remove excess humidity from the air.