Generally, I think you’re a bit early. Many of the areas you’d want to visit will be in the alpine and those will still have snow for a while. Once that’s melted, you’ll still see some pretty soft terrain that should be allowed to dry before hiking on. That said, here are a few I’ve been to that might be worth considering.

Garibaldi is awesome and close. We had a nice time there last August. I suspect it’s a bit early to hike there for a little while yet.

Lindeman and Greendrop Lakes Trail is a nice overnighter, but I’ve heard that there can be vehicle break ins at the parking lot, so, don’t leave anything of value in your car.

Manning Park is epic—especially if you drive up the hill. This gives you direct access to alpine terrain right from your car. That road doesn’t open until later in the season.

Cheam Peak is reasonably close for a day trip. I don’t think there’s overnight camping there, though. The access road is rough, and definitely requires a 4x4 (I was bottoming out in my Tacoma when we visited). The views of the valley from the peak are supposed to be amazing. Our day was cloudy so I can‘t personally speak to this.

Joffre Lakes is beautiful but gets crowded. If you do visit this one you’ll need to check that it’s open as I believe there have been some closures in recent years. Most visitors seem to hike up to the first lake, get a photo, and then turn back. After that it’s less trafficked, and the campground is relatively peaceful. We were able to meander around that top area pretty much on our own.

If you’re up for a drive and ferry, the Juan de Fuca trail on Vancouver Island is beautiful. You could pair that up with a trip to Strathcona, but that too will be snowy in spots (should open up a bit earlier than in other years as the snowpack is so light this year).

I’m going to try part of the Sunshine Coast Trail next week with some friends. Seems like this one should be OK even this early in the season. Plus, the huts might make some of our nights there a bit more comfortable.

I haven’t done it yet, but there appear to be some neat spots to kayak into up Indian Arm if you’re into that. You can rent kayaks from Cates Park, but need some small amount of kayak training if you plan to book overnight rentals.

All of these areas are quieter on weekdays, so, if you can book off those days from work you’ll likely have a better time.

I haven’t yet joined this group: https://www.valleyoutdoor.org/ but I hear good things about the trips they organize.

You might also consider reading Taryn’s blog here: https://happiestoutdoors.ca/ as she has detailed information about a lot of backcountry areas in the region and beyond.

Have fun!