The 1098-T is only an informational document. The numbers on it are not required to be entered onto your tax return. You claim the tuition credit, or report scholarship income, or claim the 529 plan earnings exclusion, based on your own financial records, not the 1098-T.
The money was sent to the school in 2019. It counts as a 2019 payment for purposes of the 529 plan distribution.
You can just not report the 1099-Q, at all, if your student-beneficiary has sufficient educational expenses, including room & board (even if he lives at home) to cover the distribution. You would still have to do the math to see if there were enough expenses left over for you to claim the tuition credit. You cannot double dip! When the box 1 amount on form 1099-Q is fully covered by expenses, TurboTax will enter nothing about the 1099-Q on the actual tax forms. But, it will prepare a 1099-Q worksheet for your records.
On form 1099-Q, instructions to the recipient reads: "Nontaxable distributions from CESAs and QTPs are not required to be reported on your income tax return. You must determine the taxability of any distribution."
