I stayed at this cabin in August of 2011. It is a small lake with a soft sand beach so your plane will be well protected. This lake is in the flat lands and for those of you who like marsh lands this is would be a great place. There is no trail into this lake so it should be a private stay. Cabin is 16x18 with a covered deck so there is lots of room.
Link to Kenai Wildlife Refuge Area http://www.fws.gov/uploadedFiles/Region_7/NWRS/Zone_2/Kenai/PDF/cab_Maclain_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=312545&parkId=72337