I do have a question about this as I am not sure what your issue is with the DMG spell points system. IMO opinion it does work well. You have a pool of spell points and spells cost at certain number of points. You just subtract them from the total. What does not work in your mind?
One concern about 5e spell points is, are you comfortable with a high level Wizard casting Wish, say, ten times a day? At that tier it might be balanced, but still. The spell slots only allow one Wish per day.
An other concern is, the costs are wonky, including no way to spend a leftover 1 point. Also, it isnt self-evident that slot 3 costs 5 points and slot 8 costs 11 points.
A third concern is, the math is "big" numbers for something on the fly - obviously doable, but distracting from prioritizing the narrative immersion. To be fair, the math is comparable to hit point math. Also to be fair, equating points with class level is even bigger numbers. Even so, to focus on narrative is beneficial for mind style.
The first and third concerns are enough for me to prefer 5e slots over the 3e Psion power points, despite that I love the 3e Psion class. The second concern adds awkwardness.
These concerns are about spell points generally. I still think you should just do the Wizard chassis for the Warrior.
I even think the Warlock chassis is more suitable for the Warrior concept. But I still think using the Wizard chassis is important in its own right, to see how the Warrior compares to both the Wizard class and the Fighter class.