All plants, including aquatic plants, absorb nutrients, then as they age, die, and decay, they release the nutrients back to the environment. Waterhyacinth and waterlettuce absorb nutrients from lake water and can inhibit phytoplankton growth by competing for nutrients. But unless they are removed, along with the nutrients they absorbed, the nutrients are released back into the water when leaves drop off or plants die. The amount of plants that would have to absorb nutrients from Lake Okeechobee to have an effect on phytoplankton/water clarity is enormous, and these plants would do much greater environmental harm than the beneficial effects of making the water clear. This is one of the reasons waterhyacinth and waterlettuce are managed at maintenance levels – so that only the smallest amounts of nutrients possible are released at the same time from the dying plants. Other reasons include preventing the environmental impact that large amounts of plants would have on desirable vegetation in the lake and preventing the low oxygen conditions created under vast mats of floating plants.

http://edis.ifas.ufl.edu/ag371

There have been some relevant lake restoration in Nepal using fish as biomanipulation agent and community participation for rest of the restoration mechanism. First of all the purpose should be clear, what will be the purpose of lake restoration, water quality improvement, fish production, general cleaning for better environment, drinking water puposed, biodiversity etc. Earlier work of lake restoration using plants as a biomanipulation agents aquatic plants had been prioritised (Carpenter et al, Moss et al). Recently, I have used various carp with variations in theirs feeding behavior to remove overgrown lake vegetation, which was thought to be one of the pollutants due to accumulation of debris in shoreline after theirs sesonal desmise, these debrises chocking the navigation of boats due to overgrowth. The water hyacinth was one of the plants which could not be substantially controlled by fish activities, therefore this was removed by community members. The members were motivated to remove the water hyacinth with an announcement that whosover will bring 1 kg of waterhycinth from the lake would be rewarded about 50 cents. That worked magically and fraction of water hyacinth that was in the lake were removed successfully.

I am not sure if the same mechanisms might work in your lake, if your like to read some methods which I applied to restore the Lake Rupa, situtaued in Central Nepal one can refer to :http://www.entrepreneurstoolkit.org/index.php?title=Rupa_Lake_Restoration_and_Fisheries_Cooperatives,_Nepal

1.) BIVALVES--I did not see any mention about any of the 50 species of fresh water Florida native clams or fresh water mussels?  They are good filter-feeders.

2.) WHERE IS TURBID WATER COMING FROM?--No mention why the pond is so turbid-- is turbid water coming into the pond, if so, why not produce a kind of native Florida vegetation filter lining the stream into the pond with some native sedges or wiregrass?  It sounds like this pond is being fed by agriculture, road or lawn runoff? You will probably solve 90% of the pond problems when you fix the source of the turbid water going into the pond.

3.) POND EDGES--And what about the pond edges, solid native plants along all of the edges, or are there bare areas?  Three feet above and one foot below the water line should be covered with native vegetation

4.) EXOTIC PLANTS OUT--And chop down all of those exotic Ardesia ( if they are either crenata or elliptica) and the Brazilian peppers if you can, because their leaves dropping into the pond could be having an effect.  However if you have Ardisia escallonioides, that is a Florida native, so keep that.

5.) EXOTIC FISH OUT--And what about fishing out the exotic fish?  Mmmmm, fried tilapia barbeque?

Also, you did not mention the size of this pond? 

Basically you will known that you fixed your pond, when you can see to the bottom.   Keep experimenting and get a Secchi disk and measure the turbidity at least twice a month, to see how well you are doing on the turbidity.

Although there are various physical or biological manipulations you could do to the lake to improve its condition, the first step should be to understand what caused its degradation in the first place.  I would focus first on the quality of runoff into the lake, as Craig suggested.  A small treatment wetland/bioswale at the places where runoff enters the lake would remove sediment, nutrients and bacteria (which you don't mention but is often a problem in urban runoff).  Controlling the inputs is much better than relying on in-lake manipulations like water hyacinth, which can be effective for removing nutrients but require a lot of active management and bring its own problems.  Much batter to rely on native species as much as possible.

Introducing Hypophthalmichthys molitrix or another filter feeder species also provides an alternative remedy for your lake

The Silver Carp (Hypophthalmichthys molitrix) is a bad exotic as you can see at http://nas.er.usgs.gov/queries/factsheet.aspx?speciesID=549, but another Florida native fish might be helpful, but I am voting for the native clams, if you do not have many in that lake so far, and eliminating the addition of the turbid runoff into the lake as starters. 

Anodonta sp. ( Unionidae ) or other bivalve should be considered

Stephanie,  Have you checked the pH of this lake?  Why not test in a jar, if changing the pH with something non-toxic, might change the turbidity?

For nutrient removal and recovery to healthy state from eutrophication l suggest the following to be attempted:

1. Divert wastewater which is feeding nutrients to the lake

2. Remove the superficial sediment (nutrient bank!) 

3. Uproot and remove existing macropytee and employ selective macrophytes like Eichhornia, trapa, pristia, ......locally available and high capacity of nutrient removal)

4. Stocking of some bottom grazing fish (like grass carp) for temporally period to clean the bottom

5. Employ some filter feeder species (mollusk etc.)

6. Aeration, flocculation and algae control are also required.

in addition to what has said by colleagues above, I think you can mechanical aeration for  the lake to mix air oxygen with water

and also dredging of the sediment  so this could be possible to decrease turbidiy

regards