China should try it's best to wait and wait as much as possible every extra year in peace is year where China gains on the USA on all fields, militarily, economically and technologically.Said nothing does not mean do nothing. Firing cannon shots across the path ahead of the aircraft being intercepted is common practice. Besides that, clipping the non-obedient aircraft is another option that China has done before to the Americans. Yes a kill will unite the two camps in USA, but China does not have to care much about that. Last time in Korean in 1950s the US were united but did not stop Mao to send PVA in after the red line was crossed. There is always a bottom line, after that line being crossed China won't care what US feel or think or do.
A kill is always the last resort, but it is always on the table just like what US leadership keeps on saying "everything is on the table". This is the time that China says so.
The big picture is NOT only China's big picture. If the US does not share and care for the same big picture, why should China care? Also the big picture CHANGES even in the eyes of China. Chin's big picture during Deng, Jiang and Hu's time was to gain the time by staying low. Now China's big picture is push back something that was impossible with increased strength. The picture will keep changing.
The thing is that US wants a war or an incident to happen so that they can put a full stop on China. China on the other hands wants time. So China's strategy should be to to wait as long as its red lines are not passed and even then it should ensure that bar from the US starting hostilities, Beijing should not harm any american