Many years ago after doing the last stage of the Hume and Hovel Track (the Woomagama NP and Tunnel Road section), I then spent some time scooting around Lake Hume.
I still remember highlights, like the punt trip and the skeletal trees, the Ettamogah rodeo where several cowboys had on sneakers, not cowboy boots. The Hume Weir Trout Hatchery and the bellowing at the Wodonga Sale Yards but the thing that I remember most was a sign. On one of the grazing property gates east of Albury near Jingillic, the sign read 'UPON DOWNS'. I'd had enough of the up and downs at that stage. I didn't need to be told. It was pretty lumpy country.
When I first started out the Murray was at a record low and the lagoons were seriously stressed and the paddle steamers were moored near the Hovell Tree and not going anywhere much. Then when I had reached the Hume Weir power station, the water was high. Only the tops of netball posts were poking out of the water on one of the old sports grounds where there was an unbelievably officious carved wooden sign.
NO littering, loitering, camping, stopping, parking, alcohol, picnicking, removing rocks, collecting wood, boating, canoeing, fishing, swimming, jumping off something or other, NO trail bikes, NO vehicles, NO water skiing and it went on and on. It made me feel like I was a criminal just looking at the sign.
At Toowong, Tintaldra and Tooma which might be further (East) than you want to tour, the views of the Western Face of Kosciuszko's Main Range are a good look.
At the Wodonga Sale Yards a cowboy asked me where was I staying. I told him anywhere. He told me that the camp sites on the TSRs in NSW had been used by drovers and shepherds for over a hundred years. That's the best bit of advice that I've had, as a touring cyclist. There are many Travelling Stock Reserves on the NSW side of Lake Hume ... or Hume Reservoir or Hume Weir, depending which maps you have.
Nine Intermediate Egrets enjoying the refreshing spray below Hume Reservoir.

Warren.
"But on steep descending...Larson TT have bad effect on the mind of a rider" - MadRider from Suji, Korea 2001.
"Paved roads ... another fine example of wasteful government spending." - a bumper sticker.