My experience with short vs long barrels use the heavy bullets they loose a lot less velocity than light bullets. And use the same powder and charge weight that got you the highest velocity in your long barrel...will most likely give you the highest velocity in your short barrel. For the that distance I'd go big and heavy high BC ... 300 PRC 300 RUM, big Weatherby case, or 338 Lapua. I just used stand cartridges the fairly new 7mm Rem mag and 338 mag ... I live out west, spent many years in the mountains and deserts so city folks seem a bit odd.
I always packed a 16" barreled 30-30 Winchester with hand loaded 170 gr bullets ... for shootin heads off grouse, deer, elk, bears, lions, and claim jumpers...mostly killed elk at 100 yds or less. I Lived in log cabin in the Desolation unit in the Blue mountains in the early 70s herds of elk in meadows outside the cabin. My old neighbor killed 19 elk with an old octagon barreled open sighted 30-30 Winchester....his heavy rifle. His light rifle was a 25-20 Winchester lever. Always carry a sharp big *** fixed blade Buck knife ...no tiny delicate city folders. The big knife is a tool same as the rifle.
A friend who works at a rifle company and trophy hunts drew an Arizona elk tag, built a new rifle the 28 Nosler, and killed a big bull at a lasered 78 whole yards that just walked up a draw. Could've done the same wi
th a 30-30 or even a 44-40.
People and choices...do whatever floats your boat, ..archery, blackpowder, or maybe something new in the smokless arena.