THERE'S AN IDEA for President Reagan and Jack Kent Cooke to consider -- a public/private sector cooperative trade, in the national interest. How about sending John Riggins to the Federal Energy Regulatory Commission and Charles Trabandt to the Redskins?

Everyone knows Riggo. He's the running back with the laid-back drinking problem. When he's had a few too many at a black-tie dinner, he's been known to curl up on the floor and go to sleep. He doesn't even snore loudly, and he goes peacefully when carried out. This week he was arrested in Fairfax County and charged with being drunk in public. But was he a nuisance, yelling, breaking furniture or causing pedestrians to run for cover? No, he was riding in the passenger seat of a friend's car. According to the arreting officer, the sports idol "offered no resistance whatever" and "was totally cooperative." Mr. Riggins is a team player, a man who is not afraid to say what he thinks -- "Loosen up, baby" -- and he's rumored to be on friendly terms with at least one member of the Supreme Court. He belongs in gov

Charles A. Trabandt is less well known, but he is the president's nominee to fill a vacancy on the Federal Energy Regulatory Commission. At a Senate confirmation hearing on Monday, he spent hours answering questions about his drunk-driving arrests in 1975 and 1981, an inebriated brawl at a Capitol Hill party four years ago, and his reputation as the "prince of darkness" of the Senate Energy Committee staff. His history shows that he's the kind of take-charge, show 'em who's boss guy that the Redskins need plowing through an opposing line. He knows how to push people around: he is reported to have told a Park Police officer who arrested him in 1981, "I wrote your budget. You can't dothis to me." He gets associates to run interference for him: the executive assistant to the secretary of the interior was called to handle his problem with the Park Police. And he is adept at hiding the ball: colleagues on the energy committee staff say he was particularly good at misleading them and the senators about the contents of bills and amendments he had drafted.

A man who admits to having taken a swing at a subordinate who questioned his "style of management" would be wasting his talents at FERC. The Redskins would do us all a favor by channeling Mr. Trabandt's aggression in a socially useful direction -- toward the Cowboys.