I overlooked your requirement of a 3 1/2 inch shell. Something I don't think i've ever used. 2 3/4" or 3" shell, high or low brass is all I can recall using. It sounds like your looking for a "long tom" for geese and what not.
I've pretty much "shot my wad" where shotguns are concerned, so i can't offer any more information then what I already have. Maybe someone else with more experience can chime in.
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