A screen shot from my Up App.
I promise, it will get easier. I think I went a good two years without much sleep. Everyone has a learning curve, or a certain level of comfort they can sleep with. Don't judge yourself for not sleeping. You are normal.
Many people now use CGMs (Continuous Glucose Monitors) and that gives them a certain level of comfort. There are some CGMs that "talk" to insulin pumps and suspend the pump when a low is approaching to avoid hypoglycemia.
I usually check my son's blood sugar before I sleep. It gives me a feel for what to anticipate through the night. If it is incredibly off, I will set an alarm to wake up again and check it after I treated it. Often I wake up in the middle of the night to check him just because I wake up to check it. Don't' underestimate your instinct.
When managing sick days, I do not sleep much. If I do, I am up almost every hour to check until the blood sugar is consistent. You may be too worried to sleep, and that is okay too.
The picture here is a screen shot from my Up App. My husband got me one of those cool healthy lifestyle mobile devices that tracks my movement and sleep. It does encourage me to walk more, but there is no direct relationship to this and Type 1 caretaker sleeping patterns.
On this particular day, my son's pump insertion site was off causing some highs that needed to be managed throughout the night. Blue indicates sleep, orange is awake. It is a bit extreme, and not every day is like that, but there are times when it will feel like this.
I've not had time to do this either, but it seems like good advice. More importantly, the "bad" days will become fewer, and you will not want to miss out on the good ones.