As an audiophile, I consider 5-8k as the minimum budget for an acceptable wired headphone. So is finding a wireless one (that I can recommend) is hard with that budget.
Bluetooth adds a minimum of 80-150ms delay on Windows 10 depending on the codec (aptX = 80ms or so, SBC = 100ms+).
It's a lot...
My cheap ass Gigabyte B85M-D3H from 2013 has been running 24x7 for 8 years almost. The first component to fail was the PSU, and the next was a HDD. Each after 5 years of life. A couple of corsair and deepcool fans also failed in between. The cheapo H55 liquid cooler has also not failed yet -...
I have a i5-4440, but it's being used as my daily driver. So I'll have to swap my CPU on a Saturday before I can ship it.
Not looking to to exchange cash other than the collateral for your CPU though - 5% improvement is not worth much.
PM me if interested.