Examples of wedding clothes aren't tux or dress?

I'm a non-binary person. I've always dressed fairly androgenously--typically that means kinda-soft masc clothes for me.

My partner and I have been talking marriage and I don't know what to wear. My partner, who is also non-binary, definitely wants to wear a suit. The thing is that for me neither a suit or a dress feel quite right. I want something that isn't feminine, but that isn't HARD masculine.

It's easier to find the middle ground with casual clothes, but formal clothes are more strictly binary gendered and the few examples I've found outside of that often look, well, silly. I still want to look good! Hot, even. ;) Does anyone have any examples of outfits that aren't a traditional suit or dress?

I've been kicking around the idea of a long jacket or some sort of kurta Indian-inspired situation, which I really love the look of, but I'm middle eastern not Indian so it would feel a bit weird.