The problem is that it's inconsistent with solid-body physics?
Solid-body physics is an approximation. This isn't hard to show. Just bend something.
Consider the model of masses connected by springs. This is consistent with special relativity, and can be used to model solid-body physics. In fact, it's a more accurate model of reality than solid-body physics.
No, that's not the issue. The problem is that no flat-space configuration works.
As per a recent comment this thread is meant to voice contrarian opinions, that is anything this community tends not to agree with. Thus I ask you to post your contrarian views and upvote anything you do not agree with based on personal beliefs. Spam and trolling still needs to be downvoted.