The drama I could see Rowoon in is Rooftop Prince as Lee Gak, the Crown Prince.
Rooftop Prince is about the Crown Prince, Lee Gak, who is sent to the future in modern Seoul along with his entourage. They meet a woman, Park-ha, (who also resembles Princess Bu Yong) who helps them after they arrived. Lee Gak is convince that her step-sister, Sena is a the reincarnation of the Princess Hwayoung, who had mysteriously died in his time. He also begins to notice that there is a modern version of him as well who was thought by his cousin to be dead, and acts as him. Throughout the drama the characters try to solve the mysteries of their arrival in the future and the Princesses death and, concerning Park-ha, sorting out her sister issues.
I chose Prince Lee Gak/ Tae Yong because Rowoon has some similar qualities as him such as being sweet, charming, and determined and I could honestly see him being in a royal role and being bougie and serious even when he's in modern time.
What drama can you see Rowoon acting in? Let me know in the comments!