I couldn't find distinct words referring to green and orange melons. Would it just be 橙色的 and 绿色的哈密瓜?
Honeydew is also known as:
which can be shortened to:
Wikipedia also proposes the following terms:
哈密瓜 all the meanwhile is also interchangeable with Hami Melon.
蜜瓜 can also be a term for muskmelons in general.
Chinese is very malleable so YMMV & you might just be better off with something like 绿哈密瓜.
Names probably depends on location.
In Hong Kong, green Honeydew is 蜜瓜 and orange Cantaloupe is 哈密瓜.
蜜瓜 comes from the name Honeydew. 蜜 is honey in Chinese. It is very sweet.
哈密瓜 comes from a place name 哈密 in Northwestern China. It is less sweet.