"What are your thoughts?"
Shouldn't be a problem if the snow is not too compacted. Running shoes don't edge very well and that snow field can get compacted and even icy by late August. There may be foot holes worn into it by previous hikers but, if they are melted out or too shallow for comfort, you can skirt it on the left side up through boulders and some sloppy, muddy crud. It's Class 2.
Going down the other side you should be fine.