Haven't been to Coyote Flats but other stuff in the area. I do have a trip planned up that way in the next few weeks
Elevation is 9000ft+ so weather can be very cold and windy at any time of the year, see what Bishop/Big pine is doing them subtract 10-20f off that, if it's windy lower in the valley it will be even stronger up on the hill. Storms are still possible in the summer but less likely than winter.
MVUM Map for the Bishop/Big Pine area, you can take forest road 32e303 from the bottom right of the map or 07s10 is the more used route. Then just explore the track till you find something you like. Stick to the MVUM tracks only, we don't need more areas taken away from us from people not sticking to the designated tracks. Plenty of vids on Youtube to show the difficulty of the tracks, like this one from 2 weeks ago,
Fire ban for the whole Inyo National forest(and almost all NF in California) is in effect, unless a steel ring is provided in developed campground. Fire permit is needed for use of fuel stoves. Get the permit here,
Campfire Permit – Ready for Wildfire