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Depending on the spacing of the posts, running the cable in the air clipped to the posts might be fine, perhaps not needing conduit at all because the cable is armoured, it doesn't need extra mechanical protection. You could also add extra posts - but you'd need to make sure they're properly secure.
Running along that wall in some way would also be fine, but it might lead to complications when you get it repointed. Although I guess you could bang it on the wall and just undo the clips and pull the cable out the way for the work to be completed and then just screw the clips back in the same place (provided the stonework doesn't get moved around in the repointing). I'd probably opt for putting it on the wall one way or another as it'll be cheaper/more straightforward than digging 17m of trench.
I very shonky Stone wall, which will be getting re-pointed at some point. There are these metal fence posts along it though which are probably a good candidate to hang conduit from (if that's allowed).
That might make things easier as there's a soil pipe under there somewhere to negotiate.