The scrum-half kicked his side ahead with just three minutes on the clock when he successfully converted a penalty, before the hosts hit back with one of their own through James Pritchard.
Jeff Hassler crossed over for the first try of the contest on 23 minutes to fire the Canucks ahead, but the lead did not last long with Grant Gilchrist crossing over despite a last-gasp tackle from Tim Visser to deny him, leaving Laidlaw to add the spoils.
That would signal the end of the try-scoring for the game, with Laidlaw finding the sticks once more from a penalty to extend the visitors' advantage.
Pritchard kicked over twice in the second half to put his side back into the lead, but once more Scotland hit back through another penalty which was this time converted by Stuart Hogg.
The lead continued to change hands in the closing stages as Pritchard kicked over, while Laidlaw found the target for the third time with less than 10 minutes remaining to put Scotland within touching distance of victory.