Li Shenron
Legend
All you need to do is practice discipline with how you make combat mechanics work. You can keep abstract hit points and not cause brain aneurysms, but you also must restrain yourselves from lazy game design.
For instance, say that whenever you drop below 1/2 your max HP, you become 'bloodied.' While bloodied you cannot heal above half your max HP. Magical healing removes the bloodied condition.
Now make it so anything that logically requires serious physical contact only happens if the target is bloodied. Poisoned blades don't manage to deliver the venom until you're bloodied. Snakebites just manage to nick you, not inject anything. If you're on fire, it's just your sleeve or something. You can't get swallowed whole or impaled on a monster's spikes.
I don't think I'd like that... It just feels too much like a sort of story protection for the PCs. I am not at all against protecting the PC from dying, in fact I do it myself if the players want a low-lethality game, but this sounds like being protected from stuff to just happen to you, if you are still at max HP. Not for me, thanks.