SouthernLifter,
First off, at your height/weight/age, you aren't even close to ending your NLP on your presses. This is coming from a 6'00"/225lbs/54 year old who's presses are comparable. That means that you should be well ahead of me.
You answered 2/3 questions of
The First Three Questions. What are your rest periods for your press workouts?
Regardless, without you going whole-hog into TM, you can transition just your presses to TM-style programming while running your NLP. Matter of fact, pretty much everyone should once they get to that sticking point on their presses during their NLP. Nick has articles and videos about doing exactly this issue:
Article -
Intermediate Programming For The Upper Body Lifts
Video -
Press and Bench Press Programming – Getting and Staying Unstuck
Take lots of notes during the video. It's full of nuggets that will get those weights moving in the right direction.