Most handgun powders will show the same thing you've experienced with shotgun powders: Keep the pressures up, or deal with the mess (though the pressure needed can vary from "moderate" to "hot").
If you aren't experiencing any leading, you could probably try bumping the load a few increments (one step at a time, of course).
The cleanest loads I've ever run for .380 Auto were with Titegroup. ....But they were finicky, and had to have perfect powder charges. A 0.1 gr deviation in charge weight had a significant effect on performance (or pressure signs).
"Such is the strange way that man works -- first he virtually destroys a species and then does everything in his power to restore it."