I have an easier solution.
Cut the unemployment benefit now that the shutdown is basically over.
Some folks here had expressed confidence that the state unemployment agencies would be able to detect when the unemployed folks began turning down offers to return to work.
They were wrong.
In addition, there is no incentive for the unemployed to seek other employment if their employer is not hiring folks back.
Most people don’t work because they like to work, they work for the money. If they make close to what they were making without working (or more, of course), the majority of people will stay on unemployment as long as they can.
It is always more fun to be riding on the carriage instead of pulling it.