I'm looking for probably a very specific thing. 

I started watching The Scandal of Chun Hwa (which I've placed on hold due to potential love triangles). One of the aspects I find really interesting is the arranged marriage between the Crown Prince and his wife, and the conflict between duty (having to produce an heir) and finding happiness. (I assume they will eventually fall for each other if they are ever allowed to have a proper conversation).

So I'm wondering are there other historical dramas that focus on an arranged marriage? But, and here's where it maybe gets specific, I'd like to avoid the "cold mean male lead" trope. What's interesting about the couple above is they are both just so awkwardly polite with one another but still get down to business because they have to - where the typical manga trope was to have the man be mean and abrasive.

I just like the idea of these two people who have been forced together, who are constantly surrounded by aids and can barely have a moment alone unless it's for "official duties" and are awkward as fuck. And somehow through that they manage to fall in love eventually. And I wonder if that dynamic exists anywhere else.

I think these might fit your vibe.

Destined — This seems to fit the exact vibe you’re talking about. The synopsis on here makes it sounds like he’s a jerk but he’s really just kinda immature when they get married and life matures him  

Perfect Match - 2/4 of the romances fit this vibe

Love in the Crossfire (he seems like that mean type of ML at first, but she realizes in a couple episodes that’s she totally misjudged him)

Oh! My Sweet Liar - technically fake romantic relationship instead of marriage 

Also I haven’t watched this one yet, but this also sounds like what I hear about Are You the One? 

It’s on my Plan to Watch list so I can’t attest to it personally, but I hear that this is vibe 

Ooh thanks I'll check these out. I tend to biasedly find Chinese dramas a bit draggy and don't always give them a fair shake.

Been there many times! I wish the arranged marriage trope was found in more Kdramas.