I have a feeling you are starting to troll us
I can tell you for sure that by spending more on mobo and getting 3770K rig for same price as 3930K as you wanted to do, you will not gain anything at all and that is for sure.
Gaming? We said if you want gaming get 3570K and for leftover you can get 690 if your budget is around 1300.
and tbh there is no need to even bother with 3570K or 3770K with your current CPU, it is fine... Getting 3570K would be a step down from i7 to i5, getting 3770K as I mentioned 100 times before would not boost your performance as you imagine it will do.
So as far as my common sense goes, 3930K is the only sensible option especially when it costs similair as you wanted to spend on 3770k