I use Corbon DPX as SD and my P380 has no problems with it.
Range ammo is tougher to deal with. I started ordering Winchester, Remington and PMC when I got my 380 in October and I expect to have 6,000+ assorted by mid-Jan and 12,000+ by Feb. Once I'm stocked up I'll just keep ordering 1000 a month.
I fire about 1000 rds a month through my G26 and want to do the same with the P380. I also just ordered a PM9 which should be here this week and I'll do the same through that. The 9mm ammo doesn't seem to be a problem right now and I've stocked up on Remington and WWB. Academy's had decent enough pricing and no shortages.