Thanks for coming to the Community. I'm here with some insight to provide regarding this matter.
Just to clarify, is the School Tax Liability under the Local Service Tax for your state? If so, then there is a way to stop QuickBooks from creating a liability check if your state supports E-Pay for this type of tax. For additional insight about this, I recommend following this article: IOP4A - E-File & Pay
Let me know if this isn't quite what you're looking for, I'm determined to provide you the information you need. Thanks again for dropping by, I'll be standing by for your response.