i believe its quite easy to simply ignore all food and pick supply bags, if you wish to use them only ...
Supply bags are not well positionned and distributed for this. There are a lot of them and, in exemple every companion gives you one so you start with a lot of them.
Even if you only use them, there's really nothing that help the player to understand that resting too often is basically not expected (story =\= mechanics)
The only problem i have with this suggestion is that it only take under concideration people who either like curent system, or want it even more strict ... but completely forgets about people who want it even more loose.
I was thinking about merchants to solve this.
If they sell only a few supply bags and tons of food the "core" system suggested is safe and players can buy food to rest if they're playing with the optional "food=supply" rules ON.