I'm sorry you're suffering so much! Have you already tried various hormonal (birth control) options (pills, shots, IUD)? Have you tried non-hormonal Rx Lysteda that you take only when you're bleeding? (Not sure this would be an option in your case but something you may want to check into.)
Hysterectomy is a destructive surgery. It's concerning that any doctor would recommend a hysterectomy without a definitive diagnosis. Plus, as you said, if you do have endo, hysterectomy is not a cure. Have you considered seeing an endometriosis specialist to check for endo (via surgery with biopsy) and remove as much as possible without removing any organs?
Hysterectomy displaces the bladder, bowel and vagina causing dysfunction. It also alters the figure and causes back and hip problems in the long term because the uterine ligaments are the pelvis' support structures. The spine will compress, hips widen and rib cage drop giving you the protruding belly and loss of waist / curve in lower back. And yes, your ovaries may not produce enough hormones (and may shut down completely) once the uterus is removed. The loss of these hormones is associated with accelerated aging and 18 chronic health conditions. Last but not least, many women report a loss of sexual function - desire and ability to orgasm after hysterectomy, ovary removal or not.
The prevalence of hysterectomy leads women to think it's a benign surgery but women's experiences on various forums says otherwise. Since 90% of these surgeries are unnecessary / elective, this option may be recommended by other gynecologists.
I wish I'd known all this before I was rushed into having a hysterectomy 11 years ago.
Best of luck to you in getting proper treatment!