no offense but for streamin a 6700k/7700k is way over the top.
I used my i7 4790 for streaming and while streaming the CPU was idleing with like 5-15% CPU usage. i was streaming PS4 gameplay but since im playing with this rig now i want a dedicated streaming rig.
no offense but using a dedicated streaming rig usually means using a viewerfriendly bitrate while compensating by using a slower preset which causes heavy cpu usage. Especially if you want to stream and record on the same machine, but you will get the same answer multiple times as soon as there are other people posting.
btw. an i5 4670 as a dedicated streaming rig is at its limit with 720p60 on medium preset using a avermedia capture card.