Dear Jennifer.
I enjoyed reading your essay because I felt you have an intuitive dissatisfaction with the fundamentals of physics. Welcome to the club. As an academic you have the advantages of knowing the subject and the math in depth, but the disadvantage is that you are expected by professors and colleagues, to 'toe the line' of accepted theory - very basic things that are now accepted without question. Freewheelers like me can dare to question these fundamentals openly not being accountable to the system.
You said "quanglement implies something more, a connection that doesn't rely on codified information at all". In my current essay I concluded that It=Qubit. For me these were not just words but are based on my work-in-progress Beautiful Universe Theory also found here. The theory proposes a universal lattice made up of qubit-like nodes exchanging angular momentum causally and locally to describe all of physics. These nodes may well be the 'something more" you mentioned?
With all best wishes for your success
Vladimir