In the event, you don't have access to Bluetooth, and the Canary is plugged into a network without DHCP, it is still possible to access the bird.
The Canary will assign itself a static IP address of 1.1.1.1/24. That means you simply assign 1.1.1.2 to your own machine on the same network and then browse to http://1.1.1.1. Configuration from that point on will be the same.