Best areas for viewing the Northern Lights are far north - think Alaska, Nunavut, Northwest Territories or Yukon. Places like Whitehorse, Yukon have an entire tourism industry built around the Aurora Borealis. Best viewing is in small communities or outside of towns where light pollution doesn't pose a problem. Many of the towns in the north have tourism companies that offer Aurora tours where they check the forecast and viewing conditions ahead of time and will take you out to prime viewing locations (away from light pollution, near lakes, etc) by car, bus or even dogsled (now THAT's premium bucket list material right there!).
Certainly it is possible to see them a lot further south - I've seen them from just outside Calgary, but only a few times in my life. When they are forecast to be strong I have ventured out of the city but most of the time I have been disappointed. The best viewing is definitely much further north!
The best times to see the displays are during the winter which boasts long nights and clear skies. The Aurora occur year round, however in the summer the night skies are not dark enough for optimum viewing. Keep in mind that viewing the Northern Lights is very dependent on weather (cloud cover), solar activity, etc.
Riding to the "Great White North" is purely a summer activity - unless you are talking about riding a snowmobile. (Sorry to put a damper on your idea of riding out to meet them - but it's not realistic during the winter. Remember those of us who live to the north have a very different understanding of winter - for me it's motorcycle parking season... although it is possible to go ice racing on dirt bikes with studded tires on frozen lakes. Not the type of weather that is conducive to riding.).
Good luck with it - and if you're planning a winter trip that far north make sure you purchase a down filled Parka rated to minus 40 - you will need it!