How about the "No Tax" plan?
Where the federal government bills the states for the federal services they choose.
You are referring to a direct tax as provided in the original articles of the Constitution regarding taxation.
Such a plan must be done with apportionment but the 16th Amendment allows the federal government to do a direct tax without apportionment. Therefore, such a no-tax plan would never be sold to the states. Also the federal government billing the states would entail the states putting a levy of federal tax on people and businesses, so it would indeed be a tax plan.
The FairTax code does what you are suggesting by allowing the states to collect federal sales taxes but it also abolishes all the income tax code and endures only if the 16th amendment is repealed.
With the FairTax people will have the choice to be taxed or not. It’s much better than billing states directly.