I use prioritization software that presents items on my to-do list two at a time for me to answer, “Which of these am I more likely to stay up late to do?” It’s an idiosyncratic way to work, so I didn’t bring it up at first, but when I reread this part of your post, it seemed more relevant.
If you’re in a constant fire-fighting mode like I am with lots of random work coming in throughout the day, I think ordering work based on the answer to that question might help you as well. I don’t use it for deep work, though. I block off time on my calendar for that.
If the software itself might help, I have an open source web version here, and a paid iOS version here.