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.