I took up snow shoe walking , winter mountaineering and snow camping in the back country and I learnt a lot over three winters . One thing I did learn is that snow shoes are tedious and far from energy efficient and XC skiing is way better!!. Think of it like comparing knowing how to cycle with just walking .
The Bogong High Plains are as LOPS has commented a worth while place to under take such activities and test out your winter equipment .
The winds up there above the tree line can be fierce so be prepared for extreme weather to appear out of the blue.
Walking on groomed Nordic ski trails in boots or even stomping down the middle of the XC ski trails in snow shoes is a big NO NO.
Mt. Stirling has an excellent network of huts for learner snow camping activities .If you are too cold just get inside the hut and warm up with the fire. The Mt. Stirling management keeps all the huts stocked with wood. They have a ski patrol too so you will be never too far from help should you need it.
I really enjoy snow camping at JB Hut . It is VERY popular on weekends in white season. Finding Parking can become tricky during ski season.It was free of charge when I was Nordic skiing and snow camping up there in 2019 . I tend to go in late August on a Sunday through to a Wed. From there you can XC ski towards Dinner Plain or up to Mt. Hotham at Wire Plain hut.
Mt. Buffalo when there is enough snow low down the mountain has good snow camping and XC skiing at Lake Catani hut. There is a pit loo and there are picnic tables . BYO firewood from your car. The walk in / ski in / sled haul in is about 15 min.s one way . There is a tap for water.
There is no fee for entering the Mt. Buffalo N.P.
Mt. Feathertop at Federation hut has become quite popular for snow camping in winter but many people go up there with NFI which on one occasion led to the SES rescuing a hypothermic man while we were on the mountain.
Snow shoes are not meant to carry the extra weight of a multi night winter gear pack. I cracked the frames of both of mine doing that and they are MSR EVO model snow shoes :-0. Putting skins on Back country skis seems to make more sense to me these days. You can walk up hills easily on snow with a pack using climbing skins attached to your back country XC skis.
Do not waste time snow shoe trekking too much. I wish I had learned to XC ski decades ago.
Get some XC ski lessons at Lake Mtn., Falls Creek , Mt. Stirling or Mt. Buffalo ski school .
Mt. St. Gwinear has free access to snow but no huts. IMHO You need to have your snow camping gear and habits sorted before trying the Baw Baw plateaux. XC skiing up there can be very good but the narrow tracks can be challenging for a skier.