Based off of Google maps and based on a visit to Sunrise trail, the nearest bit of "snow" to the Sunrise Visitor Center is at Frozen Lake/Frozen Lake Dam, which are about 1.5 miles hike from the visitor center. Frozen Lake is a protected area and you cannot play there but if you hike a bit South West up the hill towards Mount Rainier, you'll see more "snow" that you can actually "play" in. Why the quotation marks? At this point in the year, all of the snow has turned to ice. You won't be gleefully throwing fluffy snowballs around. Instead you'll be throwing dirty ice balls around. Trust me, ice balls hurt. Also, please do not go off trail. The Forest Service is repairing the surrounding meadows and basically everything around the trails. Signs are posted. There's still plenty to enjoy even if you cannot their a few snowballs around! Stay safe and maybe consider bringing some bear spray with you (or at least some noise makers)!
Yeah I would imagine no snow where you park, didn't know about the trails and how each one is
Few miles. No snow in the parking area. So you're hiking a bit.
Thanks! Your answer is awaiting moderation.