"Hoosamguk Goryo" ("Hoosamguk High") 10 volumes-complete by Mi Ri Hwang
Alice wants to prove to her grandfather that she's fit to be the successor of Han Gan. She goes undercover to meet the husband candidates and adds her own prospects along the way. This is from the same mangaka of "Boarding House of Hunks". I'm not sure which of the two is her earlier work, but "Hoosamguk Gokyo"'s art is better. The story had references with Korea's royal history. The scans are more than halfway complete. I find the pacing a bit stretched. The candidates started at equal footing, I even guessed the wrong guy. I think she'll end up with the guy who's always in the cover with the heroine.