One of the tough lessons to learn about owning a boat is that the fuel you consume is not anywhere near the most expensive part of boating. Then again, you could buy something with a pair of Mann's, big Detroits or large Cummins and make a liar out of me, but most trawlers and trawler-speed boats are "reasonably" economical.
Welcome to the site! Sailboats are fun but suck if you want to get anywhere; on the BC coast you will be running with the motor anyway and with a trawler, when the weather is inclement, you can drive from inside with big, wipered windows and a cup of your favourite beverage in hand. Inside a sailboat you need to stand on tippy-toes to see out the tiny windows. Oh, also in your trawler, the heater can be on, no cruiser suit or gumboots! I think you'll like it.
Don't believe everything that you think.