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Hadn't really figure that out, but lately I've generally had at least a frame bag on for the kind of rides I'd use it on, so would probably go in there.
Ideally I'd prefer something smaller that I could fit in my jersey pocked more easily, used a Ricoh GR for this kind of thing previously, but scratched the lens on mine and feel like getting something that produces slightly higher quality images.
Using a stem/bar mounted bag for it?