I wonder if it would be possible to install a 4G network extender [0] then implement IP route rules on the ADSL router, to forbid access to Facebook and co?
[0] https://www.verizon.com/support/4g-lte-network-extender-faqs...
[0] https://www.verizon.com/support/4g-lte-network-extender-faqs...