I honestly feel like you made the wrong choice by trying to upgrade your CPU. If it was my money, I'd be looking to sell the 960 and upgrade to a 970. The performance gain from 960 to 970 would be greater than replacing the 965 BE. There might be slight bottlenecking but it'll still be superior to the 8350+960 combo.
I don't know how much money you're working with at this point but if you sell the 960 for around $150, which is reasonable, and you have $300 then you could get both the 970 and the 8350 that you originally wanted.
I don't know how much money you're working with at this point but if you sell the 960 for around $150, which is reasonable, and you have $300 then you could get both the 970 and the 8350 that you originally wanted.