You could crib a page from the FATE Accelerated system. There are no real ability stats, only approaches.
Careful, Clever, Flashy, Forceful, Quick, Sneaky
You'd get to choose one at Good (+3), two at Fair (+2), two at Average (+1), and one at Mediocre (+0)
So let's say you have a Brute type hero w/ Forceful +3, Careful and Flashy +2, Sneaky and Quick +1, Clever +0 and a Thief type dude w/ Sneaky +3, Careful and Quick +2, Clever and Flashy +1, Forceful +0.
Both need to get past a strong door. The brute could use Forecful to try and bash it down, the thief could use Sneaky to pick the lock. Or, if the door was too strong or had no pickable lock, but a computer algorithm lock, they could try Clever with much less chance of success.
The real trick would be to somehow convert the approaches from the simple -2 to +8 range from FATE Accelerated into a numerical style used by D&D/DC/HC.
Using approaches removes the ability scores as character description style. A hero with a high Forceful approach could be a muscle-bound brute (Hulk), someone able to channel energy into strong effects (Iron Fist), a magician with powerful spells, or an energy-protector style hero (Human Torch).
Using ability scores, you'd have to model a variety of ways to rip that door of it's hinges. Using the approach system you'd only require a Forceful check and all sorts of characters would have a way to do it.