BTW the ARRL is not the only authorized VE operation W5YI and others are out there. All are scheduled in advance so check around.
Unfortunately, not all VECs post their scheduled test sessions in an easily accessible site. As big as W5YI is, they do not post dates, times, and locations of sessions scheduled by their VE teams. The ARRL and some of the other VECs do post this information. W5YI only gives you names, email addresses, and phone numbers of their VE team leaders so you can contact them about upcoming sessions. I find it ironic that W5YI wants to sell you license study guides, but doesn't make it easy for you to find a test session.
Links to the VECs and the information they provide about test sessions is included in the sticky post at the top of this forum. The OP was directed to that post.