Rate Quality Factors For External Rates

We want to restrict rates from a certain service provider so they do not qualify for a shipment. For this, we initially considered adding a Rate Quality Factor on the rates so they would not qualify based on cost. However, the rate type is LOGISTYX, and for external rates we do not have the option to add a Rate Quality Factor.
Is there any way or workaround to achieve this with external rates (LOGISTYX)