Well there are probablly limited options for those wheels. And I think it will definitely cost range.
My idea with tyres is always not to bother with Mud tyres unless you like being in a mudpit and do that very often.
Getting ATs is I think only worth it if they are really strong (like BF Goodrich or other) so they are better protected for harsh rocky roads.
Other than that, most tyres will get you there.
However, airing down the tyre is less effective with these big rims. I don't know how much room there is to put bigger tyres on smaller rims.
I think you have a point when it comes to damaging the car on trails that have rocky spikes sticking out all the time. I have seen them, also plenty in Europe.
However, even a lot of mountain trails are not like that. If they are not sticking out constantly, but there is just a harder service, I would still take this car over it.
Our current 4x4 is much more forgiving. I smacked a rock against the front axle a couple of times, but there is just a big metal beam, which doesn't care.
With a car like the E-tron you have to be much more careful. But those camera's are very helpful.
In terms of official wading depth numbers the E-tron is not the best, I think it is the I-pace.
But unofficially, seeing videos of Tesla's almost submerged and still driving, probably a lot more is possible.
I thought there are standards/regulations to make drivetrain components secure up to 1 meter of water, because of safety.
Still, actually owning and driving this care, you would probably not do river crossings except for a few low water crossings up to 30cm.