Newbie,
I don't know for sure, but I would expect that putting chemicals in the lake would be in violation of some of the existing waterfront laws.
I'd also suggest that, given the size of the lake, the dilution factor would be huge and I doubt it would be very effective. Save your money.
As noted, while technically in violation of shoreland protection laws, in most areas of the lakes region, you can effectively clear a swimming area with a rake and a little elbow grease. If the kids use it often, it will then stay clear.
Either that or encourage a bunch of Sunfish to make nests in the area. They are very effective at clearling the bottom for their nests
