Over half of the Natural Gas produced in the US is a byproduct of oil production.
Place heavier regulations on flaring (the safest way to deal with excess gas that cannot be sent down the pipelines for whatever reason), on permits for gathering (feeder) pipeline networks, on the pipelines that allow that gas and natural gas liquids (NGLs) to be shipped to market (which determines how much can be processed, because the processed gas has to have some place to go), and effectively, you have limited the amount of gas and with it, oil, that can be produced.
After all the whining about hauling crude oil by rail, think about trains loaded with propane, butane, ethane or CNG.
Pipelines are the best way to go, new ones need to be laid, and older ones need to be replaced, something the administration is making more difficult by the day.