the mirena iud is plastic with a synthetic progestin implanted into it. many physicians will tell you that you can't absorb the hormone into your system and have problems with it, but i have personally treated many women who had this iud put in and then had bad hormonal side effects. other women get it and LOVE it. if it were me, and i had a history of bad effects from hormones i'd skip it.
another thing you should ask about is called endometrial ablation. in very simple terms they 'burn' the lining of your uterus and in 99% of cases periods stop or are substantially less difficult- allowing a woman to get to menopause naturally. women who have fibroids causing their bleeding may not be candidates for this procedure, by the way.
a final possibility is to see a licensed naturopathic physician (warning: conflict of interest, i am one...)
who can work with you with herbs and supplements to decrease bleeding. i have many patients who i have worked with and have been able to control bleeding, especially if they are close to menopause.
all of that said, i personally had such heavy bleeding i was on the verge of a transfusion. i did everything i knew from an alternative perspective but i had a huge fibroid that just kept growing. i ended up with a procedure called an LSH which took my uterus, but left my cervix and ovaries. it was less than 3 weeks off of work. 6 weeks before i could pick up my son and had my energy back.
good luck!