Vinegar is used to neutralize the acidity of the electrolyte that has leaked out. Alcohol is the actual cleaning agent, since it evaporates readily. I'd leave it to dry a day after if it were me, but a couple of hours should be sufficient.
!!DO NOT use mineral spirits or acetone or any other chemical likely to eat through the enamel coating of the motherboard!! Use isopropyl alcohol or if you have access to it freon based tuner cleaner (without silicone).
I suggest using a soft bristled brush instead of a q-tip, as you'll end up with little wads of cotton sticking to the surrounding components.
Either way, I suggest removing the motherboard to clean it and/or replace the capacitors.