I just completed a new build with the gtx 770 (very similar to the 280x) and an SSD (samsung 840 EVO) and BF4. I can play BF4 @1080p on high settings with no problems. I don't know how many frames, but it is running smooth and loads maps FAST.
When I played the beta of BF4 with my old rig using a gtx 660ti and a standard 7200rpm hard disk I had to play with settings on medium and it wasn't smooth at all. Plus each new session took a long time to load its map. With the SSD windows starts from full shut down to the desktop in 6 seconds. BF4 maps load in under 10 seconds and I think thats more my connection to the server not being so hot than anything.
Hope that helps.