I think your symptoms are substantially worse than average. I've only spoken to or heard of one other person with symptoms that bad -- Julia Wise, actually, who has written about it on her blog. https://thewholesky.wordpress.com/2016/12/23/you-dont-need-to-have-a-period/
Mine are also probably worse than average, but not as bad as you describe. I'm usually unable to work or do much other than read or some other low-key activity because of pain, for about half a day to a full day at a time. I've never experienced vomiting due to pain.
I got an IUD ~7 years ago that basically made the problem go away completely. I've had a couple instances of extremely severe pain with the IUD that were so bad I went to the ER, but since it mostly deleted my menstrual cycle and there were only a few bad days in many years, I feel it was a good deal on net.
I would +1 all the commenters here saying you should investigate more birth control options that could mitigate the severity -- and probably try to find better doctors, if you can. I think it's a common experience for period pain to be dismissed as unimportant or not worth spending effort to fix, but that's utter bullshit.
I've gotten a lot of mental mileage out of thinking of it as "This is a minor physical disability that I have," and try to think how I would want to work around it if it were a Real DisabilityTM. For example, I used to feel guilt about taking time off work because I was in so much pain that I couldn't concentrate, because "periods are normal, if I can't work during this normal thing, then that means I'm a bad employee." Instead, I changed my thinking around it to be more like "This is a disability I have, and so my employer can accommodate it. If it's a problem for them that I have to take off half a day here and there, we can discuss it and negotiate it, but I'm not actually able to work right now, so there's no point staying here and pretending."