“We have two portable air conditioners running, but they’re of limited effectiveness since we don’t have direct access to outside air.”
Turn them off. They’re making things worse.
http://en.m.wikipedia.org/wiki/Second_law_of_thermodynamics
They keep the server room cool. They get SOME access to outside air, but not enough, so they also pull air in from the rest of the office. They create negative pressure, which means much of the warm air gets pulled back in rather than progressing out any ventilation.