Well I assume you turned it upside town after it happened to spill out any trapped liquid. You seem to be okay with the idea of opening the machine. You could do that, take out the major parts and lay them out on a dry cloth. I would be surprised if they were still damp.
The biggest problem is that the parts are likely to be sticky (if you were drinking seltzer that would be lucky). If so, you may have to clean them with a damp cloth and let them dry again. Sorry, this is the best I can offer. BTW where did you plan to get an Apple logic board without going through Apple?
HTH