Using compressed air on these devices is not a very good idea, as it can blow debris and dust and even moisture into the device. I'd use a small vacuum, carefully . You can use the smallest attachment for more suction power (the smaller the opening at the end of the attachment, the more suction at that point). Just be careful and gentle so as not to scratch anything.
Another option (I'd do both) is to use rubbing alcohol on a cotton swab to clean everywhere you can reach with it. Don't worry about moisture damage, as rubbing alcohol evaporates very quickly and techs use it all the time to clean electronic parts and components/equipment.