What a fabulous idea. Trade cramps, bloating, and diarrhea for pelvic inflammatory disease, perforated uterus, an embedded IUD, potentially fatal ectopic pregnancy, constant exposure to hormones, and other charming side effects of hormone-releasing IUDs.
The hormone in a Mirena is only intra-uterine, not system wide. For women who are confined to bed for 3 days a month, it might be worth looking into. Your other claims have even less merit, but of course, it’s your choice to inform yourself or not.