What I ended up doing is riding in the morning before the kids get up. I'm on the bike before 6am, home by 7am, enough time to take a quick shower and drive the kids to school. Takes a little teamwork as she has to get them up and dressed, but she doesn't have to get dressed herself. I know a guy from Strava that's on the bike every day at 4am, I'm assuming for similar reasons.

For me, the bike is my morning meditation, I get pissy and crabby if I go without for more than a day or two and my wife has pointed it out herself. As others have mentioned, it's going to take concessions on both sides. You may not get to ride at the time of day that you want, but if you can arrange it to where it's not putting more of a burden on her, she may be more receptive.