The i7 6700K is your best option, it'll have 4 cores and hyperthreading to help allow him to game and record at the same time. It also starts at a very good clock speed, but can be pushed a little further. The i5 6600K would also be good, but without the HT, it could have troubles with recording and gaming at the same time. Though probably not often. The $350-400 will accommodate the 6700K.