There may be very good reasons for hysterectomy while at the same time not performing oophorectomy, a fancy way of saying Leave the Ovaries. Someone's already mentioned this. In fact, unless there is also a very strong indication to do so, most GYN's will opt to leave at least one ovary behind for reasons of preventing or decreasing the likelihood of other problems or diseases. On the other hand, if it is a totally 'elective' procedure, health insurance may not cover the expense. Find out about that if you opt to pursue this.

It is your choice, and it is a solution to some of the problems you list. There are other options and I'd expect your GYN to discuss those with you.