Dawn in the west
Ski tour to Hildesheimer Hütte from Stubaier gletscher
2.3 km 90 m up over 3140 m 330 m down (0.5 h moving)
Lift to Jochdohle (both lifts to Eisjoch from both gondolas go there). Access: bus or car.
When there is a good avalanche forecast, the you can downhill off-piste from the Jochdohle.
There's one steeper path to climb to the lake near the hut. Otherwise it's quite easy.
Same way back. With a bit of luck you can take a lift back up without the guy checking a ticket.
Red (#14) or black piste down to parking, but check there are snow conditions on the way up.
Alternatively return by gondola. When lucky they might not check the ticket on the way back.