If you're mentioning the LAN party because you don't want to have the high ping for the LAN party, that's what I'm going to assume. What time are you playing, is it at relatively high traffic times of the day? Like Blue said, the ping has more to do with the speed of the connection than the power/speed of your computer as a whole. At a LAN party you might have to worry about the power of your card slowing you up, but do a single player map with some bots, and if it runs pretty smoothly, then you should a-ok!