GSP500 if all you want to do with it is gaming. It's a step up from a game one and both are by far the best options you have mentioned for headsets.
598 or 599 if you want to listen some music as well and amp with your G6.
K7xx or K702 (but I'd take the 7XX0 for some music as well but you'll need a decent headphone amp to get the best out of these. They are nicely spatial for gaming though and would do well with your G6 for gaming but to really hear what they ca do with music you need a quality amp.
Thanks you for your recommendation. If i would go the headphone route what is your opinion on snowball or yeti mic vs mod mic
thanks again