I think you are correct in your thoughts on where the most survivable places might be, and certainly after a period of complete chaos and brutality emergent social groups would be run by warlord/strongman types. That said, I think your idea we would be living in bronze age conditions in 20 or 30 years may be very optimistic, and I also believe your estimate of a billion people is high. Care to elaborate on your thoughts a bit? Genuinely interested.
I think the mortality rate would be quite a lot higher; the vast majority of the people living on this planet today have no clue whatsoever how to survive longer than a few days without packaged food, prefabricated shelter, how to make their own clothes, etc. Next to zero survival skills for most people. I wouldn't underestimate the absolute chaos that would ensue, the desperation, panic, brutality. It's one thing to slowly evolve 'towards' more civilization; it seems like it would be quite another to have it ripped completely away. Even subsistence farmers in the most primitive parts of Laos for example, are at least using steel implements, etc. Remove EVERYTHING from the equation; no fish hooks, no steel plows, all of it. I really wonder how many would survive long enough to even be able to resume rudimentary farming. I would not bet on more than 3-5% surviving the first year, and I think that's generous.
As far as smelting, things of that nature, I imagine it would be dependent upon the 'lottery' of people who survived (anyone with REAL skills/experience) and the length of time it took to began forming some organized social groups which could survive on more than hunting and gathering. The longer the period of time, the closer I think we'd be to having to start from nearly scratch. I think the time to actually DEVELOP smelting for example, would be somewhat compressed (even I, with no experience know if I find a couple different types of metal I could dump them into a fire and something stronger will come out) but it took home sapiens a very long time to figure this out. I don't think given the timeline of having to get back to some sort of organized society before smelting (or other technologies) could be resumed that we would come anywhere near bronze age metallurgy at anything approaching an economy of scale; not 20 or 30 years in my opinion. Maybe I'm just too pessimistic!