Interestingly, there is not a single weed in the pond. No surface scum, nothing?
If you have crawfish and no predators for them, those guys can clear a lot of vegetation.
You can still do aeration without AC electricity, but it becomes more expensive.
I would recommend a small to moderate stocking plan that matches your goals for the pond. If you have 3-4 good years before some extreme weather causes a fish kill, then you still had a pretty good run. Just start over again with whatever your budget allows.
I am definitely NOT an expert on what fish might do well in your shallow pond. Having a full acre to work with definitely does work in your advantage. (There are some threads about fish management in shallow AND tiny ponds.) I think a typical BG/LMB pond would probably work for you. Especially, if your pond already has a large population of fathead minnows and crayfish!
Why don't you post some of your goals or wishes for your pond, and then maybe some actual experts will drop into your thread and give you some good advice.