If the federal government acted like a scalper, I wouldn't feel bad about it.
Open auction, with price going as high as it wants, right down to zero.
Special categories (e.g. multiple co-morbidities, medical workers) cut to the front, and pay market rate.
Let businesses foot much of the bill. If I need to pay $1000 to reopen my factory, it might be a good investment. Free market will allocate resources.