I'd only use sandpaper if the corrosion was really really bad. Otherwise Q-tips and alcohol all the way. Still doesn't work, then I open it up and use an eraser.
And even if the alcohol does seep into the board, it will evaporate away immediatly afterwards. The place I work builds circuit boards and we run them through a regular dishwasher to remove solder flux so even whatever tiny bit of water is left behind after the alcohol evaporates won't be a problem.
The only reason NES carts say not to clean them with alcohol is so you buy their special cleaner, which (surprize!), is mainly alcohol.