Backcountry skiing (or, as we call it, Ski Touring) is very popular here in the Alps and its different from what you are doing, due to the landscape.
Here we typically have ascents of 1000 - 1500 vertical meters per trip and that means the same height of downhill ride, which at the end is the reason why anybody bothers to hike up at all.
There are a vast number of ski bindings available, and new models get marketed every year. The most advanced ones use the stiff plastic ski boot as part of the binding (similar to your Rottefella), and all models have a lock device for fixing the heel when going downhill, plus a 1-2-level climbing aid (climbing post) for going steep uphill tracks.
Personally, I'm using a very old binding from the 80ties that originally got developed for the US Army, named Ramer.
Its pretty lightweight, and very much idiot-proof.
https://earnyourturns.com/13749/revi...uring-binding/
It works with all DIN ski boots, and with many other sturdy mountain boots.
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