My guess is that Saddlebag Lake area also has lots of snow. Of course, you do still have 10 days, but unlikely that snow will be gone.
John,
I have been looking at the Saddlebag Lake hike and it looks interesting. I'm not opposed to doing it in the snow, assuming it can be done with micros and trekking poles.
Do you happen to know if there's any kind of gate or anything that would prevent us from stating our hike early?
63,
There are no gates or barriers to entry (unless snow blocks the way (doubtful). The road is mostly gravel, and can be rough, but is passable with most any vehicle.
Following are a few pictures to peak your interest. Taken June 26th, 2013. As you can see there is still plenty of snow, but the loop hike was clear. Since the loop hike is well traveled, and mainly flat, I doubt you even need microspikes. You might want to take them with you, and there could be icy conditions in the morning, but later in the day should be no problems.
Greenstone Lake Panorama

Cascade & Steelhead lake basin. A bit difficult to see perspective due to width of panorama

Looking back at Saddlebag Lake from ridge above conness lakes

North Peak viewed from ridge

Mt Conness & Lakes viewed from ridge

Waterfalls below Conness Lakes

As has been said by others, really, you cannot go wrong.
Enjoy!