Kiawannis tennis center is in Tempe. I don't know what they have for programs on the weekend.
Also not too far from Tempe is Indian School Park and you could rent the ball machine there you can call one day in advance.
The most active private club is The Village at Camelback but I don't think they do match setups unless you are looking at joining then they do.
Scottsdale Athletic Club does match setups for visitors but most of their players are about 80 years old.
There is a high school in Tempe McClintock where a lot of people play so you might be able to get a pickup game there. The courts are not that good though and they are very dusty.
Best of luck.