Unfortunately, for me it is clear that the FP2 won’t fit into my pocket. I am planning on either buying or sewing a fitting bag on my own which I could attach to my belt for the same reasons you already laid out in your original post. I nearly never take a handbag with me - even though being a woman - and certainly not in the office and/or lab but I wear trousers (with way too small pockets…), so I think the belt is my best solution. Don’t know if it’d suit you.
However, I did not find any bag of this kind on the market for now - but honestly, I did not look into this very much either because I have some other stuff to do right now. If you see something like this, I’d be happy for suggestions though 