Does anyone ride a bike (the pedal kind, not the vroom vroom kind) while concealed carrying?

I am looking for a good way to do it.

I don't wear spandex or bike jerseys (and I'm not going to start) so the standard bike jersey pockets are out. I usually ride with elastic band athletic shorts so pretty much any kind of belt holster is out.

I don't want to mount a holster to the bike frame as I do stop and walk away from my ride a lot.

I was thinking fanny pack. On bike trails that's fairly common and wouldn't stand out.

5-11 makes this thing https://www.amazon.com/dp/B002MTIQRG...v_ov_lig_dp_it
But with their logo emblazoned on it it kind screams "gun" to anyone who knows what 5-11 is.

Anyone use that pack? Anyone use any other packs or have other options I'm not even thinking of? I feel like your standard Wal Mart fanny pack isn't going to hold a gun tight enough. I don't really want it bouncing around in there.

I feel like for this purpose 'having access' is more important than 'quick draw'. If I'm on the bike my first instinct is going to be to pedal away from danger.