IMO it's necessary to think outside of the box. If someone is attacking you via one axis, they must believe that they have an advantage along that axis. Even if that's not true, it's probably still one of their best axes of attack. The best counter then would probably be along a different axis, one that perhaps you have a better advantage, along with simply some defensive measures along the opponent's axis of attack. For example, in this situation, the defensive and offensive operations could be as following (not very well fleshed out, but something like it).
Defensive: What the American action does is raising cost for owners of Chinese ships. Rather than totally barring companies without Chinese ships, simply raise the cost for them so the effects are balanced out. This can be done a variety of ways.
Offensive: Promote Chinese shipbuilding components, modules even, plus equipment, labor, IP, etc. overseas, infiltrate SK and Japanese shipyards so that they can be shut down without Chinese support.
