UngeheuerLich
Legend
So you're disappointed that D&D is ....still D&D?
As dave2008 said, you don't have to track hps if you don't want. Never did in fact. You're the DM. Just decide how many hits monster x can take.
Example 1: Ogre - will die on the 3rd hit. Exact amount of damage rolled not relevant.
I would highly suggest that if you go this route that you don't tell your players. Just let them roll their damage & make a scratch mark on your notes. This is because since this IS D&D there's a lot of abilities, modifiers, charts, spells, feats, etc based upon affecting how much damage you dish out. Take that away from the PCs & you lose a good chunk of the game mechanics.
I have sworn never to hand out +1 armor or shields for this reason.
Well, maybe +1 leather or chain mail, but never studded or plate.
Be careful. Even if this does not break the game which it won't, you run into the same design flaw as 3e and 4e. Scaling in hp as well as AC makes your advancement quadratically instead of linearly. You have to chise either.
In 2nd edition you dirst scaled with hp and later you only added very little but gained a lot of magic items to enhance your AC and so on.
In 5e they went the route of increasing HP rather than AC.
You could lower hp per level and add some AC equal to prodiciency bonus if you like that mofe than hp.