My second $20 headset has died on me and since I have built a high end computer recently I think its time for a high end gaming headset.
My budget is $200 but can go over if need be.
Probably wouldn't get that, just get a set of decent closed-back cans and an external mic (like a Blue Yeti or something similar) and you should be all set
For the mic, if you prefer a headset one, I like my V-moda Boompro. I've not had any other mics to compare directly, but from what I've heard it's quite good quality when I'm in a discord or game chat.