Medcalf & Russell (page 104)  identifies 5 different Chinese in Hawaii medals (2M-45 thru 2M-49). Each with the same design elements. The differences are the metal and sizes.  The only issue I have with the Medcalf & Russell listing is that the image on page 104 is of another medal (2MN-689, on page 141).

The 2MN-689 medal is on the left and 2M-46 is on the right. I hope this helps you in identifying these medals correctly. By the way, 2M-45 thru 2M-49 was struck by The Honolulu Mint.