Awesome! I'm glad to hear that they will allow this. A friend of mine made me a warm pack that is just rice sewn up inside part of an old pillow case. It gets hot and stays hot for a long time when heated in the microwave. So, if you don't already have one, that is an option that you can make cheaply and quickly.
Something else I remembered: I'm not advising you to do this. But I will relate something that I have found helpful in the past.
Back when I had a menstrual cycle, I had really terrible cramps. Because part of my problem was endometriosis, part of the pain was not only uterine spasms/cramps, but also intestinal cramping. If anything, the intestinal component of the symptoms was the worst part. When it was really bad, I found that a dose of immodium (loperimide) was very helpful for that part. It took away a lot of the discomfort and put a stop to the irritable bowel kinds of symptoms that accompanied my periods. I didn't need to use nearly as much NSAID, if any at all.
Again, I'm not recommending this to you. You should definitely not take advice on medical concerns from random people from the internet, and should talk with your physician about your particular situation.