At least in the turkey department, I've been down this road twice. The first culminated in a Browning Gold 10 gauge with an Aimpoint. The second time, I came up with this monster:
That's a Eotech-crowned Browning Cynergy O/U 3 1/2" 12 gauge with a Rhino turkey choke on the top barrel and an improved cylinder on the bottom.
A couple of incidents come to mind that will become relevant later on. I've had the pleasure of turkey hunting with Allen Jenkins, former owner of Lynch Turkey Call company. The first time we went hunting, when he showed up at my house I was eager to see exactly what kind of turkey hunting shotgun he had. Much to my surprise, it was a Browning Citori O/U in 20 gauge. Other than the various scratches and dings from long years of use, it was as shiny as it was when he took it out of the box.
The second incident that comes to mind was a couple of years ago when Kiz Jr. called up a couple of gobblers for us. For those of you that don't know, Kiz Jr. shoots competitive Olympic double trap. That day he was carrying his little Benelli 20 gauge youth model, his first shotgun. I couldn't get a response with a diaphragm, but these two birds just loved his Lynch box and they came in on the proverbial string. Problem was, that string took them right through a little botton right in front of us and we were basically sitting in zero cover from there. Sure enough, those two heads popped out of that bottom a mere 15 yards from us, which is starting to get too close for comfort to me. We did the old "1-2-SHOOT" and Kiz Jr. missed his standing-still bird, which immediately took flight straight away. I barely had time to think "Boy, you look like a huge clay target. I don't think you should have flown away like that" when BOOM, Kiz Jr shot him in the head at 40 yards. Kiz Jr. has had little experience shooting at stationary targets. However, he's had a LOT of experience shooting at flying ones.
As I said, I've been down this road twice. That's because I used to miss turkeys better than anyone else in the world. A buddy of mine once said I miss more turkeys in a season than most people see. My personal season best (or worst) is 6 misses in a single season, and I've done that twice. Lest you think me an imbecile, in my defense, I killed 13 turkeys one of those seasons and 12 the other.
The end result of all this missing and experimenting is a pretty good idea of what constitutes the ultimate turkey shotgun, and I think this can also be fairly applied to a predator shotgun too.
The best turkey shotgun is the one you shoot well, all the time.
No matter what kind of sights you have on it, no matter how many admonitions to "aim, don't point", a shotgun full of birdshot is a weapon that, for nearly the entirety of its roughly 300 year evolution, was meant to be pointed, not aimed. I think the optics "craze" on shotguns has more to do with selling optics than it does with improving one's "aim", and I think aiming a shotgun is akin to putting lipstick on a pig. No optic is ever going to replace the skill honed by untold numbers of clay targets, dove, duck, quail, etc., none of which can, im my humble opinion, be hunted with a shotgun-mounted optic.
So, after two journeys down that road (or, as it turns out, down that rabbit hole), I went out and purchased myself a Browning BPS NWTF edition 3 1/2" 12 gauge two years ago. That gun fit me well, and I have killed 16 turkeys with it as well as two coyotes, a gray fox, untold dove and duck, and even a western diamondback. It has also broken umpteen clay targets. It's sitting in my truck right now. As a matter of fact, it lives there year round.
Getting back to your particulars, as much as I love 10 gauges (I have three), I would bet that the Remington is the only one of those that qualifies as a year round gun. I think buying ammo and shooting it a lot would be be money better spent than buying an optic.
