I'm fairly sure someone has already checked that bronzeworking will come in time to do it, although we need to confirm this of course. Easy enough to do with someone's worldbuilder game. It may not come before we start on the worker, but it should come in time to revolt (mid worker build) and whip.
Blubmuz: Your suggestion isn't actually all that different from option 2, it's just the tech path and the whip. The whip is definately worthwhile, even without a granary. While building a worker, we get 1 food -> 1 hammer. The whip at pop 3->2 without a granary gets us 24 food -> 30 hammers. Because we build the worker sooner, we start using food as food again sooner, and we finish up completely replacing the whipped food during the time we would otherwise have spent converting food to hammers anyway building the worker. We grow back very quickly with two fish, so the hammers we lose by having 1 less population aren't more than the hammers we gain from the better food hammer conversion of whipping. So basically the worker turns come pretty much for free.
We lose a turn of anarchy for slavery, but I honestly think we'll want to whip more in the near future anyway. 3-pop whipping a settler for instance is often a very efficient move.
It's worth getting bronze working early for chopping if nothing else. The library will take a lot of turns if we don't either whip or chop it, so bronze before writing doesn't delay the library by as much as it might at first appear. Working the gold sooner thanks to the worker whip will pay back some of bronze working's beakers as well.
To no-one in particular: Honestly, the argument shouldn't be about the micro at all. It's not immediately obvious that it would be, but the numbers show the workboat->workboat->whip worker option (credit to azzaman for coming up with it by the way, it wasn't my idea) is genuinely the best option for food/hammers. If someone wants to dispute that then they really need to do the math or run a practise game to back it up, as working out the details trumps general intuitions about these things.
The argument should mostly be about the relative values of 35 food/hammers and 34 beakers. Will the beakers lead to the techs we need to pay for REX, or will food and hammers give us population that will eventually replace the beakers?
The issue of whether hammers or beakers will hold up the library more is one relatively nearby critical point, although there's a lot of different paths to it, and it still depends what we prioritise the library over.