Trace, that looks like a typical July forecast for the Colorado high country. I agree with my fellow Coloradans that you want to get over the high passes early the the day. The rule of thumb is to get down by noon or one, but I've been trapped on a high ridge by thunderstorms as early as eleven.
A good itinerary for a doing the loop counterclockwise would be to camp in the trees just short of West Maroon Pass on the night of the 4th, then hike over West Maroon and Frigid Air passes early in the day on the 5th. Later in the day, you can visit Geneva Lake, possibly camping there, to get you in good position to climb Trail Rider Pass on the morning of the 6th. Be sure to visit Snowmass Lake, which is very beautiful. You can camp there, but it gets pretty crowded. If you camp closer to Buckskin Pass, you'll have plenty of time to hike over it in the morning hours and down into Minnehaha Gulch.
The last time I hiked this loop was just about a year ago, going in the opposite direction. You can find my trip report at Dondo Outdoors.