IUI Concerns

So my husband has low sperm count, morphology, and motility. He’s taken supplements to help but nothing has increased it. We’re currently looking into IUI and IVF but I’d like to try IUI before going into more of the invasive fertility treatment. My concern is my ovaries look good and the fertility specialist said my hormone that drops mature eggs is high and well within healthy range. With the trigger shot, I could release more than one egg which could result in multiple pregnancies.

My concern is that with fertility treatments there is always a risk of multiple pregnancies (twins, triplets, etc) but I live in a state where they do not do reductions if that happens, even if it’s a risk to the mother.

Has anyone had multiple pregnancies due to IUI?