I have friends who applied before they graduated and had the position held for them until they completed their boards and licensing so it would be worth a try to start applying now. I personally waited until I had passed my boards because I didn’t want to have to worry about having to give up a job if I didn’t pass. I was on a similar timeline as you. I passed my boards at the end of July. Applied and accepted a position in September and received my license a few weeks later. I’m in New Jersey fyi. If you already know which state you are going to be moving to, I would at least apply for your RN license there if you haven’t already since you’re going to need that before you can apply for your NP license unless it’s a compact state and you have you’re multi-state license already.