You don't wash after stabilizer, you need to leave it generally. The stabilizer already includes a drying aid. I assume you mixed it as per the instructions, very simple: just dissolve the stab packet into 1L of water.
How dry is it where your film is drying? How are you hanging the film? I find if it dries too quickly, before the water drops have a chance to drip off it can be problematic. Used before the spots dry completely I find cotton darkroom gloves and my breath on the base side only can be used to wipe the spots off but once they dry completely you may need to re-stabilize to get rid of them.
At what temp are you using the stabilizer? It should be room temperature.