Korean Rehearsal Dinner Recommendations

Hello, was wondering if anyone had any good recommendations for a Korean restaurant that can accommodate 40 to 50 people for a rehearsal dinner.

My fiance's family are from Korea and we thought this would be a nice way to celebrate but I am having trouble finding places that would be suitable for a private event. I'm trying to find somewhere with a private room or whole space but too many Korean places seem to either not have that or be ridiculously upscale, tasting menu only kind of places that either don't offer a full buyout, are too small, or would be ludicrously expensive.

Ideally in Manhattan as we don't want to make her parents travel way out into Queens or Jersey and the wedding venue/where they're staying is on UES. Also would prefer someplace that specializes in meat—Yoon Haeundae is her parent's favorite in New York and they've dined at most places in Ktown—but it doesn't have to be.

Costs aren't a huge issue but would prefer to keep it under $300 per person and ideally closer to $200.

Thanks in advance!