Have you tried soft contact lenses? Mine come as standard with a UV filter which also slightly tints the lens (blue - and it's not cosmetic as my eyes are brown). It isn't a request, as I say the lenses come as standard like this. This tint means I don't need sunglasses at all, and I have no trouble seeing anything at all either inside or outside the aircraft. Unless your eyes are ultra sensitive to sunlight this should help. I find that without the contacts and just clear lens specs, the glare is a problem, but the contacts sort it.
Just a suggestion, as it negates the fashion issue, and negates also the frame verses headset issue. More comfortable and convenient too, you won't know you're wearing them, except you can see better. Of course legally you must carry a spare pair of specs, but then you already knew that.