So, which island......

[Prairie Drifter]

I am interested in hunting Mouflon sheep. On which island/islands can I chase them ?

[RD808]

Hawaii island, and Lanai.  I think maui has some on the private ranches but you will pay big money for them.

[Ryan Sanpei]

As Riley mentioned, those would be your choices. I'd say that Lanai would be your best option.  They do offer private and public land hunting opportunities.

[Prairie Drifter]

How expensive is hunting on private land? Are your chances better?

[RD808]

Lanai private land would cost I think $275 a day?  Not sure maybe ryan has gone.  You also can put in the lottery for Lanai and thats free, but as any hunt goes in Hawaii.  If you can stalk and you learn quickly, you will have a great chance of shooting something.