That's probably about the closest fit to my preferences as well, though I'd not be much in favor of full healing in just one day without the application of magic. I like second wind style mechanics in a limited capacity. They should be fairly dramatic.
The 4e subsystem's worst aspect, in my opinion, was limiting the amount of healing you could receive in one day and driving substantial numbers of externally provided healing effects on the character's own internal healing surges. Either it's internal or external - don't mix the two.
I'm a fan of Second Wind being ~25% of Max HP once a day and a night's rest healing about the same. This way if you do both you heal ~50% your HP. So after 2-4 days you'll have all your HP and still have a Second wind to use.
This all being separate from magical healing which runs on the caster's resources and item healing which runs on the item's uses.
The issue is D&D doesn't do percentage healing so you'd need a "surge value", "rest value", or something.