As long as you aren't using MSAA or resolution scaling and have a good CPU, something like a single GTX 780, especially if overclocked, should net you around 60-75FPS on average with high/ultra settings at 1440p in BF4. It's all variable (MP maps and performance especially) and depends on how you tweak your settings.
So, no it won't quite reach the 96Hz rate, but even a consistent 70FPS looks tangibly smoother than a consistent 60FPS.
SLI 770s at 4GB VRAM each would probably outperform a single 780 in BF4, but I could be wrong and haven't pulled up any benchmarks to validate my claim. Get a second 780, and I think you'll make really good use of the 96Hz refresh rate.