Your basement floor condenses moisture in the warm season because it is comparatively cool, and the relative humidity is high. You either need to insulate the floor or dehumidify the air. In terms of coating the floor, I recently learned of a waterproofing and insulating underlayment product called Stratoflex. It a modified bitumen (asphalt) that resembles the rubbery roofing membranes used on commercial buildings. I have no personal experience with this, but the concept is sound and might be a good solution. The material is suitable for tiling, carpeting and other finish alternatives. Try this link.
Take a look, and if you go this route, post back and let me know how it works out. I would think this would give you many options for a finished floor and would address your basement's perspiration problem.