Beer can or not - I SMOKE for an hour then crank it up 350º to 375º until done @ 165º - his is under 30 min for a 3# bird. The 30 min will vary depending how fast your pit climbs from smoke temp to 3XX º and the bird's weight.
If you pay attention to the sound of the drips sizzling after the bird starts to cook, you will note the dripping will stop as the cooking is finished.. Always use a thermometer verify doneness. Let us know how things went.