I think there is a very good chance that the Acetone will take the overspray (or heavier) right off for you, I have had to use it to clean epoxy primer out of my guns when I've screwed up and not cleaned them quick enough. Acetone will also take off just about any rattle-can paint, just put some on a rag and wipe the paint off. If you are dealing with polyurethane paints then use lacquerer thinner on them, it often works. Just as a general rule anytime I'm painting I like to have a gallon or so of each of the three needed solvents right there by by side; a can of Acetone, a can of Lacquerer Thinner, and a (spare) gallon of the appropriate reducer for the paint I'm using. More than anything else I use them to keep my guns and airbrushes clean; I will percolate* the guns the moment I am done with them, it only takes a minute and it assures you of a clean gun you can re-use immediately.
* When the gun runs out of paint clean the cup (and cap) and then pour a couple of oz.s of solvent into the cup and then unscrew your air cap until it almost falls off, not all the way unscrewed but very close to it. Pull back on the trigger and look into the cup. What you will see is a whole lot of air blowing back up with the solvent, it will look like a pot of boiling water. At the same time some solvent will be shooting out the cap, so start screwing it back down and shoot out all of the remaining solvent. Then sump in another oz (or so) of solvent and shoot it out through the tightened cap and you're ready to use it on different paint if you need to.