Not often the roads are closed really. Snow at road level will melt fairly quickly in general. Once you get a bit of elevation past Moina the country opens up and melt is generally really quite quick in the open.
I assume you will hire a vehicle - go awd or 4wd just for some extra piece of mind. It's really only about 10 to 20 km where you MIGHT have some on the road but someone will have been through before you to clear a path for sure.
Ice will really only be about if it's frosty and early and in shaded places. Watch shady bends if it is frosty. There is one particular spot that is known to locals but I cant quite work out how to point it out to you. Say half or 2 thirds of the way between Moina and Cradle is a spot where you are sheltered under a large cutting which blocks the sun and it's a left hand bend going towards Cradle. Don't rush but don't panic either just keep speed around 80 ish in open areas and you will have time to react.
Remember - Clear conditions, temp under 2 or 3, shady corners go steady. If the section of the road is experiencing conditions that are cloudy, sunny or windy, ice is much less likely in that spot.
You don't get above 800m until pretty much at the accomodation areas. Looks like the southerlies will be about so it will be chilly and the isobars say expect a reasonable breeze for that added wind chill. No worries after Broome