If you move in stumps with the root ball that is best. They will waterlog and stay in place. Best to stake and tie them in place so as the water rises they stay there until they water log.

From my perspective -- a pond belongs to its owner and he/she should decide on the goals including what fish go in not simply take what the state has left over. You should control the stocking. If the state does not have what you want then tell them no thanks. IMO it is short sighted to spend a lot of time effort and money on building a pond and then try to save a few dollars by turning the choice of fish over to the state using free fish. The fish are the cheapest part of the equation.

Determine what type of fish are in the creek and what you would like for the pond and post them here. There are a lot of talented people on this forum who will be glad to help you with the plan.