Hi Frank,
you can see the relevant part of the map here
The route I took a couple of weeks ago from Hunting Hollow to Coit Lake was
– Steer Ridge Trail (water at the pond near Wilson Peak)
– Wilson Peak Trail
– Grizzly Gulch Trail (there was water in Grizzly Gulch)
– Dexter Trail
– Kelly Lake Trail (water at Kelly Lake)
– Coit Road (water at Coit Lake)
On the way back I went
– Coit Road
– Wagon Road (water at Wasno Pond)
– Wasno Road
– Thule Pond Trail (water at Thule Pond)
– Serpentine Trail
– Middle Steer Ridge Trail (water at the windmill)
– Hunting Hollow (water all along the creek)
The flow in Grizzly Gulch will be way less by early June, but there should still be pockets of water in shady areas. The same is true (but with more water) for Hunting Hollow. Nevertheless you should find water at all these places.
Have fun out there!
Manfred