3770k is very good at handling anything you through at it ,it’s a very good processor so yes go for that , the motherboard I haven’t had any experience with but the asus p8z77 pro is the one most go for ,and the only other thing I could give you help on is the graphics card , the hd7770 is not really a great card , your better off spending an extra £30 and getting the hd7790oc with is a superb card with some great reviews , anyway I run this style setup and it runs beautifully . 
john