In that budget it’ll be difficult to find good over the ear headphones, you can try to get a Audio Technica M30X on sale. If you can find a Beyerdynamic DT770 second hand in good condition then you’ll score gold. It’s a brilliant headphone and pretty awesome for gaming.
You can go for in ear, if you’re okay with that - KZ ZSN Pro are pretty good.
Lots of options in the wired gaming headphones range for that budget checkout HyperX or Logitech. If you want budget wireless ones then checkout Logitech G435.