Hey Elliot...also post the lyric. Great horn background in the arrangement. And the keyboard..did you do that live, or how did you get the chords to sync up with your "overwhelmed" and "living hell"? One thing I would suggest to try to polish up: you have 2 "near rhymes": "second nature"/"whole new sensation". I think that, in other types of songs, this would be really fine, but in a Sinatra-type song, I think it will stick out a bit, because throughout you have so many nice perfect rhymes..maybe see if you can find a better match.
And, one more thing...don't be surprised if you don't hear back personally from Frankie...but this would be a perfect track for him!