Byrna
You are of course aware that the Canadian flight dispatch licence requirements will be different to the US. Both have their own qualifications, but I do suspect that you might be able to do the FAA licence somewhere in Canada to. No flying experience required. I played a small part in setting the syllabus for the Canadian licence some 26 years ago and as I recall it was very much akin to the ICAO 7192 D3 standards rather than the US licence, what it today I am afraid I don't know.
Career wise you need advice from someone there, its been too long since I was dispatching in Canada for me to be able to advise. Try posting your questions on the Canada forum here on PPRUNE and you might get a response.