Hidden down the hill behind Grant Grove, accessed by a dirt road from the overflow parking lot, is the North Grove Trail. There are only a dozen or so big sequoias on the trail, and the trail is actually a dusty dirt road with abundant horse manure, making the hike less enjoyable than it would be on a singletrack trail. On the other hand the trail is a lot quieter than the Grant Grove loops; chances are you won't see anyone else even on a summer weekend.
Here's the trailhead location in Google Maps.
Start from the end of the Grant Grove overflow parking lot, which is just past the main trailhead. The road, with disintegrating pavement, descends from the lot. Turn right onto the first dirt road and continue descending through a pine forest. There's no groundcover at first, giving the woods a somewhat arid look, but the scenery soon improves as the trail enters a little gully with a layer of green groundcover and sequoias. The trail descends, then turns around and ascends back toward the road.
© 2011 David Baselt