I don't think I could do it, but if pistol caliber rifles are legal, the closest you might come could be a Handi-rifle in 500S&W. While it could theoretically be done, remember the story about Elmer Keith and the 600yd shot with a 44SPL, it is absolutely beyond my skill set.
I'm not even sure if the NEF is still available in 500S&W anymore, or was I imagining that it ever was?
I'm not bashing Indiana, my brother used to live there, but it must suck to be so restricted as to what you're allowed to hunt with. I thank my blessings to live in a state with no restrictions as to caliber for hunting. People use 22LR to take cougar in MT.