Since you can't (so far as I know) get circuits for Macs, and even if you could the complexity and signal speeds are above what you can usefully diagnose with a scope, this becomes purely an exercise in 'clean it and hope for the best'.
I'd say it's a gonner, but doesn't hurt to try. Take the board out, remove everything removable from it (fans etc),
then with a nylon bristle brush scrub gunked areas with hot water and detergent, and maybe alternate with alcohol/water scrubbing. Careful to not scrub parts off! Use compressed air gun to blow the water out from under parts after.
Visually inspect with magnifier looking for tracks corroded through.
Then bake gently for a day or so (just warm to touch), to get water out of plastic-metal IC leg seals, coils, etc.
The worst bits are large SMD chips with tracks and vias underneath, that are corroded.
Another problem with Macs is that there's a small CPU with non-volatile memory, that controls power sequencing and machine state. It can get into modes where it just refuses to let the machine start, even if there's currently no problem. Some info on the net about special button sequences to reset that damned thing, but I don't have a note of URLs. Apple does not provide any public information on it. Imo it's partly a 'more money for Apple' thing. Same as the fact that the keyboard is open to drink spills, dust, crumbs, etc through to the motherboard in the first place. Great way to sell more units.