Exotic Animal Hunting Methods

We have a "raiser of exotic animals" (and I use that term loosely) in our neighborhood. Last year they had three elk escape and this year an elk and a red stag have escaped. Since they are not covered under Indiana law I know it is legal to hunt them, but my question is what methods are legal?

If I am out deer hunting I can take them with whatever method is in season, but if I go out to only look for the exotic is a rifle legal? Is there a way to prove I'm going after an exotic and not poaching deer?

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