IIRC there are pay to use internet terminals scattered about operated by AT&T or similar. And it's been a while but if you are not an AC member and have wireless T-Mobile may have hotspots about like in Dallas where there are signs everywhere to point out the hot spot zones. YOu could pay the $50 to use the "E" AC, but the internet terminals seem to be hogged all the time so you will need to use T-Mobile if you want fast.
Or just take a cab to the first internet cafe you see but unless you are a long way from the airport you must be able to go home and log in, no?