Your instructional flight hours in Canada will run about $200 these days. As awful as that seems to somebody who did it for about $20 a few decades ago, I suspect that that's a good bit cheaper than what it costs to get training in GB.
You could come over for a flying holiday and get your license and flog your resume about. If you'd like to train with the above-mentioned Kelowna outfit, you could also flog your resume in the Okanagan which is a bit of a high tech centre.
You and I know well that you can do work for them back in GB while waiting for Immigration to bestow its blessing upon you, but there's nothing to prevent you from making client visits.
As for Canadian immigration, apply ASAP to get your name in the mill. Don't worry about having to work in your designated profession once here. There's thousands of doctors and engineers driving cabs