I went to this cabin in August of 2011. There is no trail into the cabin so the privacy should be good. The cabin is over size and has a great deck which is covered. No trails so your exploring is by boat.
Link to Kenai Wildlife Refuge Area http://www.fws.gov/uploadedFiles/Region_7/NWRS/Zone_2/Kenai/PDF/cab_Snag_Lake.pdf
Link to Recreation.gov to book cabin: http://www.recreation.gov/camping/Kenai_National_Wildlife_Refuge_Cabins/r/campsiteDetails.do?contractCode=NRSO&siteId=312549&parkId=72337