First of all, it doesn't matter what TYPE of nomination you get. They are all 100% identical. None is more important than another.
You said you applied for your MOC and 2 senator's nominations...... Did you RECEIVE EITHER??? If you did, then I don't understand you question or dilemma. LOA + Nomination + 100% qualified = APPOINTMENT.
If you didn't receive your MOC or senator's nomination, then you need to hope that your coach can pull off a superintendent nomination. Because it sounds like that is your only chance. Doesn't matter how good of an athlete you are or how much assistance you had on your application. (You didn't get any help on your APPOINTMENT because you don't have an appointment currently). Bottom line is you must have a nomination.
There is no timeline on the superintendent nomination. As for your MOC and senator, if you received a nomination from them, they would have told you. If you don't know, then look at your online application. It will say if you have a nomination. If it says NONE, they you don't have any. And it's past the time to get a MOC or senator. Those were already submitted. If you don't have one by now, then you won't get one. Your only other chance is the superintendent. If that's your only other hope, then contact your coach. No one here can answer that for you. Best of luck.