As an immediate response to this particular crisis I agree with your approach, only why not do it through the central bank, in the form of a ‘QE for people’? That way it would not be creating more mountains of debt.
A similar idea is at the core of a systemic solution to all the macro-level ills associated with the existing economy: “For Crying Out Loud, ACCEPT That A SOLUTION Actually EXISTS” (a “2 min read” — including options for further reading — here in Medium). I (to be clear, the author of this proposal) admit to being a bit frustrated. I’ve been advocating this solution for some time.