Lagers are awesome to make, but they require a little more patience, planning, and potentially more equipment. I think high 50's, low 60's is too hot for a decent pilsner. Do you have a large cooler? Something that you could put your fermenter in? If so, put the fermenter in it and fill the cooler up with water to the level of the beer/wort (I'd be cautious of this method if you use a fermenter with a spigot on it). Keep adding ice to the water to maintain 50 degrees or so. I use frozen bottles of water or frozen Gatorade bottles filled with water. The cooler is important because it gives you an insulated vessel to keep temps down. The water is important because it gives you a large thermal mass to prevent temp swings. Do this for 7-8 days, and fermentation will be winding down, you won't have to monitor it as close.
My other question is did you pitch enough yeast?