If you have decent shoreline woody cover in a back area of the pond the FHM might be able to maintain a resident minimal population. Get eelgrass established first before adding papershell crayfish in years 2 or 3. Add SMB fingerlings after the 1st YP spawn.
Use rocky / broken construction waste concrete sizeable lengthy areas preferably downwind shores for papershell habitat. PM me for some beneficial eelgrass seed plants. I would allow the SMB to become established with one spawn before adding the PS to minimize their overpopulation. IMO first stocking of PS could be mature sizes of 4"-5" and around 20-50 of them should get the population started with their first spawn. Do you plan to get the PS from a fish farm or wild caught? If you get eelgrass established / planted at 1st pond filling, I would check out some local streams for trapping and transplanting some bluntnose minnows(BNM) which should be a very common creek species in NY. BNM are easy to catch in bread baited drab colored Gee minnow traps. The 3 main small fish to definitely avoid in creek minnow transfer are carp, bullheads, green sunfish and any sunfish. Very few stream shiners will spawn in your pond except goldens, spotfins and satinfins. Spotfins & satinfin are sparse in the FingerLks streams and good to have in the pond if you trap some.. Creek chubs will grow big and eat fish fry in your pond but will not spawn. I don't think any of the chubs or dace in the Finger Lk area will spawn in your pond; although never a problem if they do and will serve as diversifying the forage. Trench, Rudd and Bitterling do not occur in FingerLK area so no problem with them. .

see this for locations of BNM in NY.
https://www.dec.ny.gov/animals/94469.html

See this good distribution map for the minnows of NY.
https://www.dec.ny.gov/animals/85663.html