I find it difficult to believe that 5e's combat is engaging enough to make this interesting. Positioning is already a bit of a nothing with spells in play, aside from your decision where to put your fireball. The resources that melee classes have to change their circumstances on the battlefield are already so sparse when they can carry a crossbow.
Just imagine a combat going for 5 rounds looks like, just on a technical level. How boiled down it is to rolling attack and damage and incrementing down HP. Combat was already like that, and you're interested in removing all the tools players have to inject the scene with any sense of space, place, or dynamism.
The Melee Combat As Function of Setting angle certainly has legs, as Dune proved years ago, but I think a lot of your gameplay and balance issues might be well answered by using a different system. You say you want to use familiar rules, but unfortunately, those rules are doing you a deep, deep disservice. Don't fall victim to the sunk cost fallacy.