AFAIK, only machines (tanks) are involved in scortched earth.
You could also try bzflag (if it runs on a zaurus, I think I saw a bitbake recipe somewhere for openembedded) : only tanks, and some modes don't have many destruction involved (cooperative and catch the flag mode available)
In the non-violent category, you could find some fun lan puzzles such as frozen bobble (bust a move clone involving penguins).
You could also find some racing games, but not many of them have a lan mode. I remember zsnes having a networked 2 player modes, I don't know if another snes emulator (running on the Z, such as snes9x) have it as well. Then you could play pang or Super Mario Kart
Zsnes runs great on x86, but I think there is far too much ASM in it to be portable on arm.
Good luck