I've shot the NAA minis quite a bit. It would not be a primary. Can you hit something, yes you can. Is the second shot slow (you only have 5), oh yes it is. If you have to put it away once cocked and you are excited, it may get more exciting. It's only for a BUG or some NPE reason.
As far as carry, I can only offer my style. An OWB, I don't find IWB or Appendix comfortable with my configuration. A Glock and an extra mag can be hidden, as mentioned with the Columbian or Magellan light wt. summer shirts for the heat in places like FL or TX. Get a moisture wicking loose t for under it. Good belt and suspenders if needed (Perry for me) and your gun is fine.
When I read folks who say they must OC because of the heat - well , it was 100 deg. today and has been for ages and I've worn what I described all day with no discomfort except that its a DAMN 100 deg.
My other suggestion, is to carry a gun you shoot well and trained with - discussing various guns and how to carry them that don't get shot in a well thought out training regime is putting the cart before the horse.