Thanks a ton, guys!
It seems like the best course of action right now is to begin preparing for SQE1 so I can sit the exam as soon as I graduate, and then apply for NQ (I may also need to do PGDL, let's see). Jaysen has also suggested in another post that I email the firms I am interested in and seek clarity, as I am in a bit of a dicey situation here. Ideally, it should provide clarity on the route I need to take.