My passive-aggressive answer depends on if you see said gamer anywhere else.
Tell the other players about this plan before you do it. At the next game, kill everyone. Then, stage yelling, shouting, etc. amongst the group leading up to dismantling the gaming group.
Wait two weeks, everyone shows up, plays as normal minus the problem player where you left off. Yes, I can be the passive-aggressive bastage if I choose to be.
Or, if that's not your cup of tea, simply tell him his playstyle is incompatible with the group and he has to go. I'd probably do that one myself, but the first one is plausible if you are worried about hurting his feelings.
Either way, the player has to go if he's causing everyone else in the group to lose enjoyment or dread gaming. It's not fair to anyone.