Vasectomy doesn’t change anything wrt horniness etc. Removing testicles isn’t possible, you need testosterone to live healthily. Unless you take estrogen to compensate, but that’s another matter. It would help with horniness though. Some SSRIs could work too.
One of the most common side effects of SSRIs is not getting horny anymore, to the point of sexual dysfunction. Yet for many people this is a trade-off they want to make for not being depressed. For you it could be win-win.
Talk to your doctor, get a psychiatrist. It’s worth it.