Have you considered a modmic?
The Snowball ICE is only cardioid (directly in front of it only, useful for voice), whereas the non-ICE version has a switch on the back which allows you to set it to cardioid, cardioid + 10dB (more sensitive), or omni-directional (where it'll pick up from all around)
Snowball ICE is of course better but I think the problem will be it is still a sensitives microphone so even being cardoid it will pick up background sounds. So I think in this situation the modmic will be better suited as its primary purpose is for gaming.
Of course if you don't fancy the modmic, clip on mics can be had for under £10
I want it for youtube videos and streaming so needs to be good. Might go down the Modmic route but i don't like the extra wires![]()
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