I have not had a period in ten years, on Mirena. 30% of Mirena wearers lose their period, and now you can get Mirena inserted even before having babies. Seems like worth a shot, no? 30% is a high enough probability to hope that you will get lucky with Mirena. Plus, it is virtually foolproof as a birth control method (the likelihood of failure is negligible, and when the man also uses condoms, infinitesimal).

Good luck.