Re: Nightforce 50mm vs 56mm
If the OP has existing mounts and rings, that may be the limiting factor whether or not to go with the 56 or not.
Size and weight shouldn't be that much of a difference.
Rather, it would be down to marginally better low light and/or at the maximum magnification setting performance offered by the 56mm objective.
Some time ago, I recall NF created the 56mm objectives for agencies that might be funds limited (read: limited or no NV). Not to say the larger objective is a substitute for NV gear, but larger objectives do help in lower light conditions (and higher magnifications). The 50mm objectives were for their customers preferring a lower profile.
Finally, it may come down to a cost issue: while looking at optics, it seems like the price of a model series of scopes is not a linear relationship with the objective diameter.
If the OP has the funds and doesn't mind the weight or larger profile, might as well go for the 56mm objective.