there are plenty of hatcheries in NY and the surrounding area. If you really want to know what is in the pond currently, figure out the best sampling technique(traps, seine etc) and mark/recapture.
I have seen 1 acre ponds with a sustainable harvest of crappie and smallmouth. The harvest was less than 100 pounds annually but still sustainable. Im not sure what is going to happen if you just throw in species, but IMO you are wasting your time. You are asking for way to many fish of various species. Channel cats get big and IF they survive they wont need too many of them to take over. also, a 3" channel cat is only going to be lunch for a 5-16" game fish. The ecosystem is only going to be favorable for a few species in a pond that size. survive or not i think the pond will end up being a fraction of what you are planning. I am not trying to discourage....
I think it will be more successful if you plan out what you are doing better. first of all, if you want cats, go with a smaller species(bullhead?) if you are going to stock anything, it must be a reasonable size or you are only feeding the others. Look at it as an ecosystem and build it up over years. If you just add alot of fish of various species at once, only a few will survive and youll end up with only a few of what you wanted
Ive wanted to do this for years. good luck to you. Please send pictures, this will be a cool project