I have fixed about a dozen MacBook and MacBook pros with liquid damage and most of the time they need a thorough cleaning and will work just fine after that.
What I use is SLX Denatured Alcohol. That stuff works great for me and it works much much better than rubbing alcohol and they sell it at most hardware stores. It also works great for removing thermal grease, cleaning glass and removing ink.
You will need:
* Denatured Alcohol. I buy mine from Home Depot
* Tooth Brush
* Glass cleaning microfiber cloth make sure it is lint free! I get mine at the dollar store 2 for $0.99
* Vacuum with a nylon brush attachment.
Here is what you do:
* remove the logic board and all internal components.
* pour some alcohol into a small container and dip your toothbrush.
* scrub the logic board and any components that may have liquid residue on them. Make sure to continually dip the toothbrush in the alcohol.
* as you do this, use the microfiber towel to clean the components
* Use the vacuum to suck up any dust and debris left over.
* Make sure you reapply a good thermal paste like Arctic Silver 5 or Arctic Silver Ceramique that is the stuff I use.
* See if you can take the fan apart to clean the internal shaft and use sewing machine oil to lubricate it. This will make it spin faster and make it less noisy as well.