You may want to try Online Chat.
Beyond that, I BELIEVE their phone lines support something like 9a-10p in each time zone, so that means 9a eastern to 10p Pacific (which is 1a eastern). That SHOULD give you enough of a time frame to call in to Customer Care. Plus, they're available 7 days a week, which you shouldn't be working 7 days a week. It's even illegal in some states
+1 this , there is no reason not to be able to order / cancel a line using the Web interface. Heck, I can order a car and have it delivered to my house using my browser! Phone line management should be doable.