I know he's not looked upon highly but the Rams are looking for a veteran coach to help rebuild the franchise. ala Dick Vermeil. He still coaches, stays active in football. He isn't a long term solution (2-3 years) but he could instill a system, hire the correct assistant coaches, help turn the team back around talent wise and if history is any indicator, put some wins on the board.
The key with Schottenheimer is that he knows how to build a franchise. In 3 years he had the Chargers winning their division and stacked with talent. He won in Cleveland, he won in Kansas City, he won in San Diego.
Second, he knows how to attract and develop quality assistants. Cowher, Edwards, Cameron, Dungy, Sparano, Cunningham, Mike McCarthy and Wade Phillips all worked under the guy. The Rams haven't had a coach for more than 4 years since John Robbinson. They need to develop a framework where they develop coaches as well as recruit from within.
Lastly, he knows how to win with the players he has. No excuses put forward, he develops talent and wins with it and wins quickly. When he was in Washington, he went 8-8 with Tony Banks as his starting QB for 14 games.
The next time Marty fails will be the first time he's failed.