GS728TP Enable/Disable Port on a Schedule

So bear with me here, I’m very new to all of this.  I have two networks running side by side.  The first is configured to run our IP phones, clocks, and access points. The second contains the satellite internet and the network drops for the primary computers.  In order to provide internet access via WiFi for personal use, we have the two connected.  However, since our internet is satellite based, it is easily worked at capacity by the first network causing the primary computers to lose all productivity.  The secondary network is locked down by the impossible to get a hold of home office, so I can’t change anything there, our work around is to disconnect the two networks during the times of heavy primary computer use.  I was hoping to be able to put this schedule into the switch so it wouldn’t have to be done manually.  I’m open to any thoughts or suggestions on other ways to manage this.