Scheduling NYS Road Test question? Please help.

I'm 16 years old and have had a Class DJ Learner's Permit since November 4, 2013. Since then, my parents and I have become confident enough in my driving ability (after hours and hours of driving at night, in snow, in heavy traffic, on highways, and receiving driving lessons) that my parents are allowing me to obtain and earn a Class DJ Junior License in May (6 months after obtaining my permit originally). I'm aware of the restrictions of this license in Nassau County; I will only be utilizing it to drive myself to and from work daily.

Today I've completed a 5 hour pre-licensing course and obtained a MV-278 form which allows me to schedule a NYS road test. I'm fully aware that my first eligible road test date is May 4, 2014 (6 months after 11/04/13), but the problem I've had thus far is scheduling the appointment without running into issues. Apparently the system is blocking me from even scheduling a road test due to that fact that I've only had my permit for 4.5 months. I don't understand the logic in this; why am I not able to schedule my road test as early as I can so that I can avoid the common 4-6 week waiting period? It completely defeats the whole purpose of being able to obtain my license 6 months after obtaining a permit. I know many will say that I should remain patient but it is very difficult considering I work 25 hours a week and have no transportation to/from work requiring me to pay for expensive LI cabs and even walk an hour and a half in either direction to and from my workplace. I'm getting sick and tired of walking in the cold and paying my whole pay check just to get to work.

Is there anyway I can schedule my road test for the soonest available date right now (May 4 and beyond) without having to actually wait until May 4? I find the whole system counter intuitive and illogical for me to be required to wait until that date just to be able to schedule it and then be required to wait another month to month and a half following that.

Any tips or insight would be incredibly appreciated!

-Anthony