I am not qualified to comment on the specific ECC variant you sketched.  However, I do believe there are ECC variants which are resistant to Schor, and other public key algos - which might be a slightly higher engineering burden to integrate in Monero, but I think the degree of scrutiny any of these have endured is comparatively light, and I know of no good implementations - but neither would I expect to know of them if they existed, as I haven't been following the topic during this millenium.