I have a couple of 5.11 PUSH Packs, which occasionally have been used to carry a weapon off-body. A few times I have been asked to open it for inspection when leaving a store, to which I ask if they inspect all of the purses carried by women -- and simply walk by them. One time I knew that the item on top was a firearm, so I gladly opened it up, after which the girl looked up at me and said "okay."
Also, having a bag like that is really good for when you have to run one of those errands where you know that you won't be exiting the vehicle, such as driving someone back to their house when you're wearing sweatpants or whatever -- but are still paranoid to leave the house without a weapon (
, hey, that's me!).
We now live in a time when a lot of folks simply jam their credit card and ID into their pockets, women carry wallets instead of purses, and men carry backpacks -- so a dude carrying any sort of bag isn't really that odd. I don't understand the backpack thing, really, but...
Plus, if someone dared question why you carry a bag, you only need to respond that you self-identity as a female, and then the PC-Police are required to come stomp the questioner into submission!