Is trying to lose weight by camping a good idea? I mean by maybe going innawoods for maybe a week at a time during the summer when I don't work (I'm a middleschool teacher)

I was thinking of just bringing stuff like a tent, cooking supplies, first aid, etc.
Also my dog. Because kennel's are expensive as fuck.
So, is this a god tier idea? Or a shitty one? Should I only bring food in case I can't scavenge for my own? Or bring all the food I need?
Also pls reccomend good supplies for staying in the woods.
I live outside of Richmond, Virginia. Where would be a good place to camp? Anything I should be worried about in the woods in Virginia?
pic unrelated