I haven't used them but I think most would recommend not using rifled slugs in a rifled barrel if you are going for performance.
I have seen a lot of deer shot with shotguns and I strongly recommend the 3" partition gold if they shoot well in your gun. They hit hard, penetrate, put them down fast, and shoot as flat of a trajectory as anything else out there.
I don't like the way some of the shells on the market today perform at close range. Penetration has not been the best. In my opinion if the bullet loaded in the shell looks like it belongs in a handgun it probably wasn't designed for striking animals at 2000fps. I have had a few blow apart bad enough to stop using them.
I took a frontal shot on a large bodied buck at 30yards with Winchester xp3 ammo that never expanded at all. I recovered the bullet under the hide in a hind quarter.
I could not get the Federal Barnes expander to shoot well from my gun but would think terminal performance would be good.
I have shot a 300+lb black bear at 10 yards with the partition gold and it performed perfectly. I have also shot deer further away than most would consider ethical with them and they have always performed well.
Shotguns can be fussy about what ammo they like. Try a few types and see.