Even the supermarkets should have quite a bit in their 'fresh' section that's made more normally. Particularly look for sourdough - even if it's not real sourdough you should find stuff that's had a decent amount of time to rise.
Beyond that - visit a bakers or a market or something.
It's certainly not real sourdough, but where it has been given time to rise more naturally it will often say so, and that implies it is not a product of the chorleywood process. Could be wrong though!
But yes, I'm not surprised the supermarkets skirt as close as they can to the law and mislabel with wanton abandon.
Beyond that - visit a bakers or a market or something.