Wow i know you said u didnt want to build a custom pc but with 1600$ u could make a beast with a i7 quad core about 16 gb ram 1.5gigs+ nvidia graphics card and a custom case with nice Led's and fans
@cseay1 In that selection I got a i7 6 core processor and a 2gig nvidia graphic card. Only thing is I got 12gb of ram
Then just switch most of the parts to what i have recommended.