I have introduced newbies to snow camping , snow shoe walking etc. at Mt. Stirling. The Bluff spur hut is just 4.5 kms on foot or skis and skins or snow shoes from the car park at TBJ. The hut has a wood burner , tank, dunny and is a good place to hang out and cook food and talk when you are not snow shoe walking / XC skiing.
King Spur hut also has good options on Mt. Stirling for a 5 km walk in snow camping site . If there is a super low dump of snow then Howqua Gap hut or The Razorback huts have snow camping options within the Mt. Stirling resort area. It is a ski/ skin in or snow shoe hike in for both options. That should warm your mob up rather than just sitting down inside a car the whole time.
Most proper drive in 4 x 4 access to good snow is closed in Vic. from June until early Nov.. I do car camp ( sort of )/ snow camp at JB Plain near Dinner plain and do day trips on XC skis . Parking on weekends up there is not easy to find in white season.
The Gorge Car park is as far as you can get on the Howitt road in winter. You can pack carry on snow shoes or BC XC skis for one hour to reach Kelly hut or maybe just over an hour to reach Mc Micheal's hut which is in better condition. I would be doing a briquette and dry kindling in sealable 40 litre containers type supply drop this weekend without fail If I were you.
You can get a 4 x 4 vehicle up to Lake Cobbler all year round. It doesn't hold snow very well unless there has been a big low dump of snow across the Vic. Alps.
From there to Mt. Speculation for snow camping and BC XC ski touring is a 10-12 kms walk one way by two legged human power , past the locked winter gate .
In all cases take a chainsaw, know how to use it properly and take wheel chains and a shovel. Taking two proper 4 WD vehicles makes a lot of sense in white season.
Access to Mt. Skene is subject to a permit system in white season. Permits are only handed out to 4 WD clubs (by the relevant authority ) that can travel safely in convoys so that they can rescue each other if something bad happens.
For this reason I have shelved the idea of hiking in / skiing in at Mt. Skene and snow camping up there and ski touring the area because the 4 WD clubs will churn up the snow and spoil the BC XC skiing!.
The Moscow Villa hut and Nuniong Plains in East Gippsland have potential for 4 WD based snow camping but only after a big low level snow fall.
In NSW in the KNP Island Bend is popular
for vehicle based snow camping . It is close (by vehicle) to Perisher ski resort and the Guthega Power station which has a car park and easy snow shoe/ ski in access to Horse camp hut.