Update: Field stripped and cleaned the pistol using brake cleaner, then used some silicone spray lube on the trigger action and into the striker channel. Didn't remove the firing pin, as I wasn't sure how to do so. I just sprayed the brake cleaner in there until it wasn't coming out brown!
Took it to the range today, and had 2 boxes of white box Winchester 115gr FMJ from Sports Authority, and about 30 rounds of the reloads I bought with the gun. First box of Winchesters worked flawlessly, really got my hopes up. Then I put a mag full of reloads through the pistol - worked fine! Loaded another mag of reloads, and tried some quick fire, shooting 8 rounds in about 2-3 seconds to warm the gun up. Put in another mag full of reloads. First round, light strike. Second fired. Third, light strike. 4th, light strike. Pulled mag, let pistol sit for about 5 minutes, put in a mag of Winchesters. All 8 fired using a steady rate of fire, one shot about every 3 seconds. Put in another mag of reloads, same steady rate. All fired. Loaded 8 more Winchesters, fired all 8 in about 5 seconds. Loaded last of the reloads, had 2 more light strikes. Put in some more Winchesters, one light strike. Let gun sit for a few minutes, and fired off the last couple of mags of Winchesters with no light strikes, one FTF (I think I limp-wristed it a bit). Put all the light strike rounds back in a mag, and three of the reloads fired, and so did the Winchester.
So I think there's still some cleaning and maybe some polishing needed. I found some instructions on removing and cleaning the firing pin and striker channel (hope that's the proper terminology!). This is my first striker fired pistol, and it seems this is a common problem with the BP9CC, but it can be fixed with some proper cleaning and maintenance. Might also go ahead and polish the feed ramp a bit as I've read some reports of FTF with certain hollow points.
Now as far as shooting it, this is a keeper if I can take the light strikes out of the equation. Nice trigger, quick follow-up. I can put 8 rounds into an 8 inch circle at 10 yards in about 3 seconds, and can hit a zombie in the head from 7 yards every time! Due to an injury to my right thumb years ago, my knuckle sticks up a bit while gripping, and that knuckle takes a beating from the top curve of the backstrap. Don't notice it much until after about 50 rounds. Since this isn't really a range gun, but meant to be used for EDC, there won't be many sessions where I'll shoot more than 50 rounds through it once I get it working properly.