Two 1099-Q (in parents and student name) and 1098-T (student name)

Q. What is your suggestion?

A. Fuhgettaboutit

The 1099-Q and the  1098-T are only informational documents. The numbers on them are not required to be entered onto your (or your student's) tax return.

Ignore the Student's 1099-Qs, there's no earnings to tax.  For your 1099-Q, there are sufficient expenses to cover the whole distribution. 

Tuition after Scholarship  $9175

Room & Board                      5902

Books etc                              1289

Total QEE                            16,366 > $14,500 on the 1099-Q

You allocate all expenses to the parent's 1099-Q.

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. 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. 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 also cannot count expenses that were paid by tax free scholarships. You cannot double dip! 

References:

1. 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." 
2. IRS Pub 970 states: “Generally, distributions are tax free if they aren't more than the beneficiary's AQEE for the year. Don't report tax-free distributions (including qualifying rollovers) on your tax return”.