I grew up in the Midwest pronouncing it like “appellation”. But a previous thread on this subject informed me that no one from Appalachia says it that way, so usually I say “apple atcha” or “apple atchan” now
I’m in Western Canada, quite a distance from you. However, we would also say “a-pah-lay-shun”.
Not as far as I know,
I live here. It’s Appa-LATCH-a. There are some people who get pissy about it–I’m definitely not one of them, but the Appa-LAY-sha version does sound weird when I hear it.
The question was about the word “Appalachian” which is used for the mountain range and the trail, both of which run all the way to Canada. 
I’m in Asheville. It’s pronounced ap-uh-LATCH-n here.
Do you have experience of people in New York talking about how they live in Appalachia? I don’t mean that in a hostile manner because I’ve wondered about it myself.
I grew up literally on the edge of the Appalachian Plateau, in a county - Chautauqua - in the Appalachian Regional Commission, but I’ve never personally heard any New Yorker talk about how they are in “Appalachia”.
I might, however, have missed something, or it might be different more eastward along the Southern Tier. (The closest I remember someone self-declaring that they live in Appalachia is somewhere in the center or south of Pennsylvania.)
There’s a trailhead in the northern Presidential range of NH called Appalachia, pronounced the northern way. It was named by the Appalachian Mountain Club.
I grew up in Pennsylvania, and knew it as “a-puh-LAY-shuhn” - well, closer to “a-puh-LAY-chuhn” (ch not sh). Then I moved to NC for school and quickly learned the “a-puh-LATCH-uhn.” pronunciation for the college (and I assume the mountains). I’m likelier to say it with the long A these days though.
Yes, the college is always App-uh-LATCH-n State. Or you could just skip the issue altogether and call it App State.