Really sorry for both your losses. I had an overnight stay with medical management last year as my baby had died at 12 + 5 and they said that I was too far along to be allowed to go home given the risk of blood loss and pain.
Basically I went in at 9 o'clock in the morning and was given my own room for the duration with a toilet just outside. The nurses that were going to look after me for the day came and spoke with me as well as the doctor to explain what was going to happen. They took my vitals and some blood and I was left on my own (dh had had to go home to look after our ds) for a bit until they came in to give me the tablets.
So, I took the tablets at about 11.00am and was basically left to my own devices with nurses just popping in every few hours to check my vitals.
When you go to the toilet you are not allowed to just go and then flush it away, you have to put a pot like thingy over the toilet to catch everything that you then leave for the nurses to collect. Apparently this is so they can monitor your blood loss and see when you pass the baby. I found this really weird to do but get why they do it.
It was a really boring day and I just spent most of it watching tv, doing cross stitch or my puzzle book. Nothing happened for hours. They were talking about sending me home at one point but I think because of the handover from the day to night doctors by the time the doctor got to me it was too late to go home so I had to stay - which to be honest I'm glad about given that I passed my baby about 11.00pm.
As I knew a stop over was a possibility I had already packed my toiletries, pjs and some clean clothes for the next day. I would also make sure that you pack loads of sanitary pads and extra knickers because it really is quite messy. I hadn't even thought about this and ended up with some lovely paper knickers and the biggest pad ever provided by the hospital.
In the morning I wasn't allowed to have anything to eat until I had been seen by the doctor just in case they decided I needed surgery as I hadn't passed the placenta. I think I must have one of the last on his rounds and by the time the doctor came round I was absolutely starving and he decided that they would just send me home with an ultrasound appointment for the next week to let nature take its course. Fortunately they did manage to whip me up some food that I ate whilst waiting to get picked up by dh.
Overall, forgetting the horrible reason I was there, it was ok stopping overnight. The worst bit was just how boring it was, the loneliness and the fact my dh wasn't there when it finally happened given it was late at night and he was home with our ds.
I hope that your stays go ok given the circumstances.