Will doctors do a hysterectomy because of family history of uterine cancer?

I am 24 and have had all the children I'm going to have, for sure. I have a very extensive family history of cancer, uterine cancer in particular. The 3 women in my family that had uterine cancer were diagnosed at a young age and had radical hysterectomies to treat the cancer. I was planning to have my tubes tied after I had my daughter but I'd much rather have a hysterectomy if a doctor would perform it because of my family history. Would a doctor do it?