You are way overthinking this.
I do think a 26" barrel is about as short as you want to go to try to shoot flying targets. Good explanation above.
I also have a handgun as the first line of home defense - which is a whole different animal than tactical in my opinion. My 28" barrel shotgun will work as back up if it ever gets to that.
Remington, Mossberg, or Browning are all fine. The ergonomics are very different - safety, how you load, etc., so see which one YOU prefer. I wouldn't lose a second of sleep over any of them being reliable. It doesn't bother me, but the BPS is not American made; Japan. Also fewer options available, and I don't like that one HAS to reload through the magazine, unlike the Mossberg and Remington. But, I had 3 BPSs and not one ever hiccuped, and I do think they are as well designed as any.