Unfortunately we don't have a choice between unemployment being 20% vs 3%. The choice is between the current unemployment and whatever the rate would be if the govt issued no lock-downs and let the virus run rampant. I don't know what the unemployment rate would be in a world with overflowing hospitals and many thousands of deaths per day, but I bet it would be a heck of a lot closer to 20% than 3%.
My point is the hospital are no more overwhelmed then what has frequently happen in the past. We don't need lockdown back then, why we do lockdown now ?