You might try chucking your OC temporarily. Battlefield games have been questionable before on OCed systems...and with Mantle the extra horsepower will mean approximately nothing.
Didn't have any problems with single player campaign (with exception of SLI rendering glitches - I had "borrowed" two 780s at the time). It was about 6 months back, too. Perhaps they've fixed what didn't need to be fixed since then, but the suggestion above seems the most probable to me.
As Mantle enables higher load upon all hardware, if it runs at the edge of stability, it might lead to such crashes.