In my mind it would be better to focus on management of transmission. Like TB, Ebola or HIV the most effective form of prevention is first and foremost behavioral change.
Education and enforcement of basic hygeine protocols in the public space should be more effective and less costly, not banning people from the public space.
We have many parking wardens and police for example with the ability to issue fines for infractions. Instead of focusing on those illegally parked, focus on those not weakening a mask or practicing proper distancing. Have a whatsapp number where people can send photos and make denuncias which may or may not be investigated and result in fine - just like illegal parking. When people start getting heavy fines (like fines that hurt and they will be paying off for a few years...) then they start to learn and pay attention to how they behave in public.
Encourage testing paid for by the individual for those wanting to travel (board a long distance bus, a flight, checkin to a hotel etc.) Or rapid tests for those wanting to attend larger events etc (80% certainty is better than 0% when people are just going to do it anyway)
Like in Chile, these rules need to apply to everyone without exception so for once people don’t feel like they are living in a state of impunity.
The virus (nor its mutations etc) is not going anywhere soon and will not disappear just because there is a lockdown. Best to live with it and simply get the cases down to manageable levels as we do with far more deadly diseases.