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Given how close my bushnell elite 3-9x40 is to the barrel on my model 700 in talley lows, I'm gonna say it won't clear. I had to cut the bottom out of my butler creek lense cap to fit it over the objective end.
I use the Extra Low to mount my Swaro Habicht and Z3 models that all have 42mm objectives and there is still room for more bezel. Your 44mm should fit.