When I went to ASU, Fair Trade Café at the Civic Space Park was my go-to coffeehouse for caffeine. I went there over the campus Starbucks because it was an indie coffeehouse, had decent hours, and had wonderful coffee and coffee cakes. I'd always lobby to have after-class meetings and study sessions at Fair Trade.
Now that I'm not at ASU, I don't get to Fair Trade Café at the Civic Space Park a lot anymore. It's a shame, really, because the place is very good and merits a visit from you. When the weather is divine outside, you can sit in the concourse patio, look up, and admire the Janet Echelman public art piece "Her Secret is Patience." As summer starts up or winds down, the patio area is refreshingly cool.
A quick note about wi-fi: You'll have to connect to ASU's public wi-fi network. It's actually pretty quick and reliable (for a University wi-fi network!) and you can access ASU's wide treasure trove of online research databases.
Go to Fair Trade and enjoy a nice cup of coffee (or tea). I highly commend it to you.