You will have to experiment with sounds to figure out which ones that you have confidence in.
I use rabbit distress sounds a lot. I also like Titmouse Tantrum and Platinum Grey Fox is almost always on my play list. I have confidence in these sounds, so I use them.
It does not matter that you don't have cottontails in your area, predators will respond to a distress sound either out of hunger or curiosity. The first coyote I ever killed came in to Lightning Jack, there is not a jackrabbit within 500+ miles of here that I know of.