You're trying to force someone in to an operation, and giving up their fertility, that is 100% wrong. It needs to be his decision, without any hassling, coercing etc.
Women get a whole range of contraceptive options. There's a hormonal and a none hormonal coil, a subdermal implant, depo injection, patches, and a whole library of different pills that means most women can find one that suits them, even if there is a bit of trial and error. There are cervical caps, sponges, both can be use with or without spermicide, and there is the female condom. There may be others i haven't listed, but thats a good few options. It is completely accepted that women can dislike or find uncomfortable all of these and reject all options, and insist on the use of a male condom.
Males get one contraceptive, the male condom. Yet if a male dislikes using them, doesn't like the feel, finds it uncomfortable, desensitising etc and doesn't want to use them, he gets slated. He is made out to be selfish, and heaven forbid he wants a woman to use one of the female contraceptives instead.
Expecting a male to give up his fertility and be sterilised as his only other "option" is wrong. It should be seen as permanent in most cases, it can sometimes be reversed, but not reliably. If you should split up, or heaven forbid, you die or lose a child/children, he may want more in the future with somebody else, possibly even with you.
He's made it clear he doesn't want to do it, so stop pressuring him, it is abusive. If you can't/don't want to use any of the contraceptive methods available to you, fine. If he doesn't want to use a male condom, fine. It is entirely up to you if you no longer want to have sex with him as a contraceptive measure.
You trying to pressure him to have a vasectomy, would be no different than him pressuring you to terminate a baby you wanted to keep, or to keep a baby you wanted to terminate. It is HIS body, and his choice alone. It doesn't matter if he was the one who suggested it originally, was up for it until he found out it would need a GA, or even if just after talking to a doctor and could have the basic op, he changed his mind. He is allowed to change his mind and say no to something being done to his body he doesn't want.