Yes, you can claim just the part of tuition you will not be reimbursed for, for the LLC.
Report only what you paid less what you expect to be reimbursed. For simplicity, when you enter the 1098-T just report the amount you will be claiming in Box 1. Box 5 should be blank. Lying to TurboTax to get it to do what you want does not constitute lying to the IRS. What you enter is not sent to the IRS.
The 1098-T is only an informational document. The numbers on it are not required to be entered onto your tax return.
If you claim the tuition credit, you do need to report that you got one or that you qualify for an exception (the TurboTax interview will handle this)
You claim the tuition credit, or report scholarship income, based on your own financial records, not the 1098-T. In the 1098-T screen, click on the link "What if this is not what I paid the school" underneath box 1. You will then be able to enter the actual amounts paid (in your case, the amount you are claiming)
