Welcome to the forum!
Overall, everything looks good - if you post the prices you have identified for your components, we might save you a few bucks if we happen to know of a better deal. You might want to try pcpartpicker.com
. It will help you develop your list and provide you with an easy way to post it to the forum. It will also help you see how close to $750 you are.
Most people will tell you to go with Intel - no matter what; I agree with you - bang-for-buck I think AMD offers the best deals for the performance you get. As for the motherboard, I used the ASRock 960GM
and it worked fine. It's cheap too.
Finally, if you can swing it, go for the 7870
. It's about $25-30 more than the 7850 and is worth every penny.
Hope this helps.