Interesting. Since the 1602 LCD displays are as common as dirt (I have a half-dozen in my parts bin), you'd expect the marketplace to be awash with bezels. Here's is one that is being marketed for the 1602 displays, but the dimensions do not match.
The datasheet for one of my 1602 LCD displays says that it's 80.0 mm wide overall in the widest dimension.
Given how common these 1602 LCD displays are, perhaps it might be easier to switch LCD supplier to find one that matches an available bezel. Or maybe not.