If you think the states should get the money, then taxes are a better approach.
Giving this to rich people does nothing to further immunity in vulnerable sectors of the population - it weakens that goal.
We don't need to take the narrow view that hospitals are the only way to do this. Let the states run the show, let them take the money, and let them use the money for social services, or to reimburse hospitals for vaccines, or whatever else that will make a positive impact.
Your approach baffles me.
Saying you would take socialised medicine and yet prioritising actions which oppose this goal mean it’s not what you actually want and so you’ll never get it.