What you were doing the past decade, Coach, was not a bit more and not a bit less than your job requires. You received money in exchange for games won, so all's fair between you and OSU. They weren't paying you to be a bastion of integrity any more than they were paying you to paint murals or check pH levels at the campus pool. You were paid by a football factory to perform the specific function of outrecruiting the other Big Ten teams and consequently winning the conference.
What you did was fine; you worked at a factory for 10 years and met expectations and got paid. But you could have, had it been important to you, made an effort to instruct your star players as to the permanent value of solid character and the fleeting rush of self-aggrandizement. This route, this road of moral vigor, sometimes requires punishment, such as suspending a player for a bowl game. Yup, you'll likely lose the bowl game, which might cause fans and analysts to poke fun at you because you can't beat an SEC team, even the fourth-best one, but that's something a respectable leader does. He takes whatever heat necessary in order to do right by his charges.