score:7
Well, as you can tell if you're in Vancouver, the North Shore didn't really get winter this year. The BCMC Trail is just east of the Grouse Grind and starts from the same parking lot - it's also a way better hiking trail. The Grind is basically a staircase in the forest and it's name is well-earned.
If you don't feel like hiking the trail both ways you can always take the gondola down.
Alternatively, you could take the gondola to the top of Grouse Mountain and do some hiking at the top as there is very little snow right now. Goat Mountain is a favorite. If you're feeling adventurous you can do both the BCMC and Goat Mountain and ride the gondola down after the return from Goat.
As for the rating scale you posted you won't find much above the T3 level on the North Shore.
Lynn Peak(great view) would also be a good hike right now. It was icy in January, but most of it has melted since then. There are other hikes of varying difficulty in Lynn Headwaters Regional Park that might interest you as well.
Upvote:3
Quarry Rock is a personal favourite of mine. Plus, Deep Cove is a awesome little town to stop for some ice cream, a drink, or a swim after the hike. It's roughly a half-hour hike up.
From Downtown Vancouver, take the 211 to Phibbs Exchange then transfer to the 212 Deep Cove. Then, it's a short walk to the trailhead.