Keep in mind that Estrogen is also produced in other parts of your body. Have you had the BRCA testing to determine your risk?
Since I am BRCA- , both my gyn and oncologist felt that having my ovaries removed would be overkill. They prefer entering menopause naturally since it is a far more complex biological process than just shutting down estrogen production.
Even with thickening of my uterine lining due to Tamoxifen, there are other risks associated with a hysterectomy as well so they also nixed that surgery.
I did choose a BMX, not only to reduce my risk, which it only does in a statistically insignificant amount, but because I was fed up with my large, perky Ds, had contemplated a reduction, and in the end, would have lost the lower half of my left breast anyway due to a second, more aggressive tumor. A BMX kept me symmetrical (flatter than a preteen).

I agree with Sanne about being tested for the cancer gene (BRCA). I tested positive so was advised by my Oncologist to have a BMX and complete hysterectomy. Knowing your risks should help you make an educated decision. And don't be afraid to ask your docs for pros and cons. Good luck.