In all likelihood the minnow species you talk of are fathead minnows(FHM). FHM are not adapted to handle heavy predation which they would receive in a pond full of LMB, YP and BCP. Even with large numbers over 700 lbs present in a pond, within a couple years the FHM will be completely removed from your pond.
Golden shiners(GSH) are a little more predation resistant. You may want to consider stocking them in your pond. I would highly recommend that you look for the largest size you can find to stock. GSH are often common in community ponds that are muddy, where families come to feed bread to the ducks and carp. In the past I have gone to these ponds and used small size 12 hooks that were barbless. Using small bread balls or corn you can catch dozens of 8"-10" GSH. If you handle them carefully you can transport them back to your pond and release them. At that size they are often too large for all but the largest of bass to eat. This allows them to spawn heavily for a couple years before they die and will often lead to a good population of GSH for years.
The only other forage fish species that is even close to being commonly available commercially that can handle substantial predation is the banded killifish. It is also known as the bull minnow. You can look into stocking these as well. They reach a maximum size of about 5" and in my experience will do well under heavy predation as long as your pond has substantial areas of vegetation for cover.
Fathead Minnow:
Golden Shiner:
Banded Killifish:
