[SOLVED] What Intel CPU should I get with my motherboard? Or should I change to AMD?

Apr 1, 2020
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Motherboard - Maximus VIII Gene (Flashed BIOS)
CPU - i3 6100 OC to 4.2ghz
GPU - RX 5600xt Sapphire Pulse
RAM - 4x4gb Ballistix OC to 2666mhz
CPU Cooler - ARCTIC Alpine 12
PSU - Corsair CX Series 550 Watt 80 Plus Bronze
Monitor - Acer 3440 x 1440 100Hz

My motherboard is a Maximus VIII Gene and the highest 1151 cpu it supports is the i7 7700k. Now as you can see I have a i3 6100 paired with a RX 5600 XT. The bottle neck is around 40% and I need a cpu upgrade soon. If you are wondering why the hell I have a Maximus VIII Gene paired with a i3 6100 in the first place is because I got the motherboard for free. I recently got the RX 5600XT because my old 1050ti was the bottleneck. Now my CPU is the bottleneck and need a upgrade. So the question is, I have a budget of around $200 and looking to buy a CPU used or new. Either the i5 7600k, i7-6700k, and the i7 7700k. The i5 7600k is around $200 - $230, the i7 6700k is around $260 - $300, and i7 7700k is around $330 - $400. Is the $100 - $200 difference worth it. Would it make a huge difference if I wont be able to overclock any of them that much because of my current cpu cooler, should I just change my motherboard completely maybe to AMD or wait for Zen 3 or what should I do because I'm kind of stuck. I'm not certain what path I should take, any suggestions are appreciated, thanks. (Budget is $200 but willing to pay up to $400 if the difference is worth it).
 
Solution
The i7 7700k is equal to the ryzen 3 3300X in performance.

I would suggest swapping to that chip, not because its faster, but because it, with a b550 board has a MUCH better upgrade path.
It will also cost the same.
Apr 1, 2020
8
0
10
The i7 7700k is equal to the ryzen 3 3300X in performance.

I would suggest swapping to that chip, not because its faster, but because it, with a b550 board has a MUCH better upgrade path.
It will also cost the same.

Yeah thanks, decided on getting the Ryzen 3 3300x. Now just waiting on them to drop. ;-;