For that price there aren't much of really good headsets, just lots of cheap Chinese bling bling junk mixed with few attempts to offer something more.
And from actual audio makers headsets tend to be above that...
Because attaching mic to headphone costs and also makes it special product.
So if you don't need mic it's better to forget headsets and look for headphones.
But first of all do you have noisy or quiet environment?
While allowing best lowest "rumbling" bass closed headphones have lots of problems in soundstage and overall sound balancing.
So without need to isolate external noises would recommend open headphones.
(naturally most gaming garbage are closed for more bass=better sound illusion)
Of course if environment is noisy then compromise in soundstage is needed for external noise isolation of closed design.
For highest competitiveness in picking foot step sounds etc. bass should be very neutral/weak.
But that cripples "fun factor" rather heavily with grenades and such going off not sounding much anything.
So I assume you would like to have more balanced sound, with some strength in bass but without it drowning everything else...
Like it often does in gaming stuff, because in closed design bass starts to very easily dominate everything. (or is then weak)
For no mic, quiet environment and good strength in bass I would recommend this:
Beyerdynamic DT990 Pro Black Limited Edition (standard Pro has coiled cable)
And then Creative Audigy Fx for good binaural-simulation.