Good choices
Dont buy a mossberg 935 my experience was HORRIBLE with one.
The franchi ,stoeger should be good choices, and the weatherby is a new gun in your range, but I dont know anything about them. I do however know people that got the stoeger and franchi that you are talking about, and they dont have complaints.
The stoeger has the inerta like the benelli,
and the franchi has the system like the beretta (xtrema like i have and love)
I would save up for the beretta xtrema if I were you but if you cannot affor it. I think you will be fine with either the 2000 or franchi