Just finished transcribing pocket recorder notes from my trip. All flows are eyeball estimates.
Middle Fork Coyote Creek at Poverty Flat Road: plenty of water flowing.
East Fork Coyote Creek at Los Cruzeros: flowing, about 10 LPM.
Kelly Lake: trickle going over spillway, creek just below lake trickle, stagnant pools.
Kelly Cabin Creek at Coit Road: about 0.5-1 LPM.
Coit Camp horse trough: seeping slowly, less than 0.5 LPM.
Jackson Canyon Creek at Coit Road: 1-2 LPM.
Grizzly Gulch below falls: Pools of water, some trickling.
Upper Grizzly Gulch: pools of standing water, no flow.
Tule Pond: plenty of water.
Rodeo Pond: plenty of murky water.
Camp Wilson spigot: water flowing freely, tastes great!
Dowdy Ranch: one bathroom open, water running.
North Fork Pacheco Creek at Pacheco Ridge Road (near Brem Horse Camp): trickle of water and some pools.
North Fork Pacheco Creek at Pacheco Camp: pools, no flowing water.
Pacheco Camp spigot: water flowing freely, tastes great!
Pacheco Falls: Other hiker says pools, no flowing water.
Lost Spring: tank full, water trickling in.
Kelly Cabin Creek at Los Cruzeros: flowing, clear and warm.
See also Water Resources in Coe Park.
Hope this helps.
[Edited to correct some North/Middle Fork confusion]