Currently your only option is to turn down your computer volume. I suggest that you post this suggestion here, in the AGv3 forum. You can probably get a better response to your suggestion.
I have to agree with xeano321 there... if ou dislike the sound of the ArmorGames logo or the developers logo at the beginning of a game, then why not simply keep the volume low and turn it up again when the game is ready to be played?
Some laptops have a mute button (like my macbook) and that's easy enough if I want to use it... I actually like the clinging of the ArmorGames' swords everytime I start a new game, it's appealing and very nice to hear!