I've run everything from 85 to 95 gr, hollow point (which was extremely hit or miss depending on the hollow point), jacketed round nose and round nose lead in my M11/380. Everything but the hollow points was dead-blow reliable. I've used Accurate #2 and 5, Red Dot, Bullseye, Nitro 100, and Unique as well as a bunch of other powders no longer available such as SR-7625 and other IMR products. Some were dirtier than others but all chronoed well. I will not post actual powder loads as this a too litigious world (and I ain't payin' your doctor's bills).
Bottom line... yes, there are tons of different loads for the 380 that will work just fine in the baby Mac. Experimentation is your friend. Buy powders that you KNOW you can use in other guns/calibers so if it doesn't work out you haven't chucked your jing down a rathole. Borrow powders from friends if you can, doesn't take much. Enough for a dozen rounds and put them through a Chrono. Inspect your primers for excessive pressure as well as the brass itself and you can work up great loads in no time.