@TessBaylis-Smit If you had just your set of students in a section, then you could do this easily by filtering the gradebook and SpeedGrader by section. Another option is to form a group, "tutor group" for example. Then in Grades you can filter by Student Group.
If for some reason you can't have students in sections or groups, then it might make it somewhat easier if you went to Grades or SpeedGrader and changed the sorting options. For example, if you sorted by submission status, then the students that need grading would be at the top of the list. I realize that students in someone else's tutoring group would be included, but at least you wouldn't have to sort through the students that have already been graded or not submitted yet. How do I sort the student list in SpeedGrader?
It's too bad you can't sort by the Comments column in Grades. That would be an easy workaround for you.
If you are not the only one with this need, and if there are other large enrollment courses for other tutors, then perhaps you want to have the conversation to have students in different sections or groups at the beginning of the course.