OEH,do you have OD measurements??? Is their room to putBCflip upson?If i canmake the switch therifle will bestrictly amoose and elk gun,moisture in the way of rain and wet snow is likely, so I'll want ButlerCreekson it.
With a 4-12x50 AV on a Vanguard there was very little room for the front covers that Swaro supplies, I had to shave the bottoms with an exacto knive , it was close. With a 44 I would think you would have plenty of room.
I think the Factory supplied flipups are thicker then a Butler Creek.