Help DMing an arena battle

Hey, Our DM (lyinginbedmon) wants a day off every now and again, and it has fallen to me to DM a game for him to get some time on the other side of the screen. The game I am planning is an arena battle between him and another player, and they are both making ECL 15 out of main continuity characters for this. I was just looking for some ideas for the arenas they would have to face.

This is the upshot of my current ideas:
4 'elemental' arenas, each embodying one of the four basic elements, so for example:

Air: Open room, many platforms at varying levels, with ladders and ropes etc, with mobility being the main advantage

Earth: Underground, narrow, claustrophobic spaces, darkness

Water: Submerged, but with strategic air pockets, victory mainly depending on using these to the best advantage

Fire: emphasis is on natural hazards which must be avoided

I was thinking of having these initial matches fighting to complete objectives, then doing a final one to the death in a more standard arena, possibly with some sort of advantage gained from victory in the previous matches.

Ideas/Suggestions would be greatly appreciated

This will both date myself adn also sound REALLY cheesy, but it works GREAT for arena battles. I grew up playing the original Doom, and no game has topped the deathmatches my friends and I use to have during typing class freshman year of highschool. So when it comes to arenas, I often use old Doom levels or old deathmatch maps I made in WADed back in the day. And no one has caught on yet. It's a great source of ready-made maps.

As far as objectives and what not, I don't know. I normally game online these days, and as such, that'd involve me running two different games simultaneously without the players realizing it (in most cases). It's real fun, but you could always just make a dungeon dive where they are raiding a temple for an artifact or some such. And the final showdown is to determine who gets it. The different tasks would just be a matter of overcoming obstacles in the dungeon. Also, at that high of a level, you'll have to make some substantial obstacles.

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