How about we simply:
1. Embark on a crash program to produce a few billion masks
2. Require everyone to wear one when outside their homes. Period. The big gotcha with Covid is that you can be completely asymptomatic, yet be shedding plenty of virus. Requiring masks on all trips outside the home would go a long way to reducing transmission.
3. Use those rapid antibody tests to identify those who have had it and recovered. Get them back to work, pronto.
It's basically exactly what Japan and South Korea are doing now, minus step 3, which is what the article references.