We had reservations there for adults only a few years back, had to cancel day before (long story, emergency trip home to the hospital, that's the only thing that would get me to cancel that reservation). We tried to get reservations last year twice for adults only and couldn't even as much as 4 months out.
Looks like your ticker has you 3 months away, start calling now and call often. I got lucky last time and 2 days before we left in the mid afternoon and happened to mention it on the phone w/ a rep when chaning other ADR's and said "hey just for fun could u check", i laughed, he laughed and said something like "you can always dream" then he gasped and said "omg we just had a cancellation for 2. hang on, then hurry hurry im trying to get my computer to save it". he was as shocked and excited as i was. Unfortunately this was my one and only time at snagging an ADR there, so far. I already have my clock set for 180 days out to get our ADR for this for next september.