There are very nice trophys of both species on Lanai. The people to contact would be Palawai Outfitters. I believe they are on the web but I am not sure of the prices for either of the animals you mentioned. There was a video on myoutdoortv with someone hunting on Lanai for Mouflon. I will try to find it and tell you the name of it so you can see it for yourself.
You could also try the island of Maui, they have some very nice trophy animals there. Get in touch with Jeff from Arrow One Ranch, owner/operator. He's a friend of ours & is an awesome guide. My husband hunts there every chance he gets! Hope you have a great vacation where ever you go!
One of the things I struggle with when afield is keeping my rifle clean and in good working order. Small amounts of dust and dirt collect moisture; moisture can freeze rendering your action immovable when you need it most. I have seen this happen on multiple occasions, and over time, I’ve learned the cause and how to prevent this from happening.
The first thing that you need to avoid before going afield is leaving excess oil on the gun. Oil will trap dirt and sand in all the wrong places....