Nice pond, FK!

Lots of increments to improving the pond between "do nothing" and "drain and clean out".

Looking at your picture, the pond has almost certainly accumulated leaves and pine needles to create some muck on the bottom. Do you have a boat or kayak available? Just pushing down with a 10' piece of PVC pipe in some of your deep spots could give you a rough estimate of the muck depth. Knowing that is the first step on analyzing the cost/benefit of decisions for tackling the problem.

Aeration is one of the possible solutions. Getting aerobic bacteria to work on the muck is one way of reducing it. Having 120V electricity available makes the aeration options much cheaper. (It might also help your fish population.)

Are there lots of leaves and pine needles floating on the pond in the fall? If you do successfully reduce the muck and gain some pond depth, then it might be worth it to run a skimmer during that time frame. A perfect skimming system would probably be quite expensive. A moderate and inexpensive skimmer box might still get 80-90% of the problem. You could even make it removable if that was preferable for your situation.

Perhaps you should read a few of the "muck" threads in the archives. After that, you might post a new thread just asking about your possible muck solutions and listing the relevant conditions of your pond.