I'm thinking of compromising the stability of a friend group over my problems with an individual within it
Are these major problems that you are having?
This person takes my fun away from playing with many others in group
It is normal to find some people annoying but if you try do something to a friend group to get rid of one, people will think that you are the toxic one. You might be the one to end out of the friend group.
Interesting, I'm getting a rush.
I think that you should just talk to this friend. I think that it seems silly to endanger so many friendships when you only have problems with one person.