Not sure where you're going in Quebec. But, here's the route we take when we go back home to Ottawa (next door to Quebec) from Venice FL.
We take I-95 all the way to Fredericksburg VA, US-17 towards Marshall VA, I-66 towards Middletown VA and I-81 to Ogdensburg NY where we cross the border into Canada. From there you can take the 401 towards Quebec. This border is super friendly and not as busy as the Thousand Island border. US-17 is very nice and away from heavy traffic. We stay at Wallmart at night. Have a great trip.
Paul & Lise
2010 Landmark, Augusta