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!
The quandary of all hunters is how do I give myself the best chance to take home a trophy animal after shelling out hundreds of dollars for that coveted tag in another state. I face this issue this year with an Antelope tag in Colorado. Now I know that Antelope should be the easiest tag to fill in NorthWest Colorado. They are everywhere, but how do we give ourselves the best chance to take home that one animal that eludes everyone else. My advice, first and foremost, is don't shoot your...