I have no issues running the game with a 600w and a card that supposedly needs a 750 my hardware is much less then yours, game maybe crashed once to me it sounds like you have a software issue
1. Check and make sure your firewall isn't blocking Origins from it's servers this could cause a crash i suppose if your playing and don't see the pop up to allow it. I have orgins exceptioned through windows and my anti-virus
2. Do a port search your router maybe blocking ports the game uses even in single player it connects to the cloud
I don't think it's your hardware or nessarily the game as it runs beautiful and has since i got the midnight release on my pc whwich again is much less then your rig i am running it on a amdfx quad 3.1 with 8 gigs of ram a 600w ps and a radeaon r9 200 so I really think something is blocking the game for you. I am also running medium to high graphics with no lag, shearing, or anything else.
I also launch the game through razor coretex and it's game boost software found here:
