Don't know how I missed the first portion of this thread previously, as in the portion with your question...
I have a little different take on what you should/can do. First of all, Northern Pike would be absolutely fine where you are, and a one-acre pond is plenty big enough. Years ago I stocked twenty - yes, twenty - 12" Northerns into a two-acre pond that was badly overpopulated with tiny GSF and not much else; I also stocked twenty or so yearling LMB I caught from nearby ponds. A year later I stocked 75 6" walleye. Three or four years later the pond owner told me someone had caught a three-foot Northern from the pond. LMB of four to six pounds began to be caught with great regularity, including one well over seven that a good friend of mine caught. A six-pound walleye was caught about that time as well. I had begun feeding when I stocked the pike and bass, and within two years of stocking the pike the bluegill were averaging 8" and had righted themselves such that the GSF were no longer the dominant sunfish species in the pond. There were HUGE bluegill and sunfish both that we saw feeding at the feeders, but I only fished the pond a couple times and never caught any of the largest ones.
So my point is, if pike and walleye can do well in a 2-acre pond in TN, they certainly can do well in NY. I read recently of a pond owner who has two 1.5 acre ponds in Ohio or Illinois that he stocked with tiger muskie because his bass were overcrowded, and now not only his bass but also his bluegill are larger because the ponds are more balanced.
You mention you'd like to have a pond that requires minimal management. If you are serious in that desire, you're going to have to have some species of forage that spawns heavily enough to not be denuded by predation by the LMB, and the pike if you stock them. If your pond were ten acres or larger, you could stock threadfin shad, but with the size of your pond, bluegill would be your best bet. PS might also be a good option; I haven't seen a pond around here that had many of them, but I'll take CJ's word for it that they do well in ponds up that way as I know I've seen a lot of photos of them from that area.
So I would say, don't hesitate to stock pike; they'll do more in the way of giving you a pond that stays balanced year in and year out, with minimal time on-site by you, than anything else you could do. You could stock 2-5 per acre. They would not only help keep the bluegill from overpopulating, which from what I've read is an even bigger problem up north than in the South (and it's a huge problem here, trust me), they would also keep your bass from overpopulating so that the bass that live get much, much larger than they would in a pond in which they have overcrowded.
My suggestion for the one-acre pond:
350 bluegill or PS
150 redear
50 LMB
50 walleye
5 Northern pike
For the 1/3 acre pond:
100 bluegill
50 perch
30 LMB
The perch will help keep the bluegill in check in the smaller pond, and will in turn be kept in check by the bass; as the bass get larger they'll eat some of the smaller perch and have a larger top-end potential than they might with just bluegill. I would keep this pond simple due to the size, and feeding supplementally would increase significantly the overall potential/capacity of the pond both in numbers and size of fish.
