@adamrabung I don't have an exact solution for you.
I have developed a custom grading LTI app to assist with grading on a tablet.
It runs independently from the Canvas gradebook, and feeds the grades back to the Canvas gradebook.
The app scrolls through assignments / students allowing the instructor to quickly find what they are looking for.
With your app launched, would it be acceptable to have the instructor select the assignment / student of interest from within your LTI app? One advantage of this is the instructor could review/grade all students for the assignment without having to relaunch your LTI for every submission.
I'd be interested to learn more about what you're doing, please post the solution you end up with.