Zofran for that low of an opiate dose is way over kill. You have a very good antiemetic there and it would be a shame to waste it on that. I dont know what your into or how things effect your stomach but I get nausea from a variety of things, acid and mdma being the main ones, I know I would save the hardcore antiemetics for those and take some pepto for what you are experiencing now.
But I am not you and for all I know you could benefit from taking it. If it is the standard I am young and taking opiates for the first few times just lay down and enjoy thats what i use to do!