Rob,

No, it's not the Elk Lake Creek trail. 

If you like to swim, this trail will take you to two good places to do that.

Maybe some visual clues will help.  I don't have a photo of the trail near the campsite in the original photo, but here are a few that are within a half-mile of it.The first is taken from the trail about a quarter-mile east of the campsite.

The second photo is of the trail at that same location, facing east.  The burned area, which is to the left in this photo, came up to the edge of the trail but did not cross it.

The last photo shows the trail heading east about a half mile from the campsite. 

Twin Lakes

Bryon

Bryon Boyce said
Twin Lakes

I think it is either that or Welcome Lakes, but given the clue about two places to swim, I think you are correct.  I haven't been to Twin Lakes since the fire.  It looks just as bad as the are around Welcome Lakes. (if that is where those photos were taken)

And I don't remember much in the way of river rock near Welcome Lakes. There is West Welcome Lake, but its a bit off the trail. And the small lake next to Welcome Lakes Campground may be unnamed on the maps but is swimable. So either Welcome or Twin could be it.