Is there any way your parents or friends can loan you some money so you can buy a ticket from stubhub or TM resale?
Also, don't you live in staten island? If I were you, I would have gone to Richard Rodgers theater 30-40 minutes before performance starts to scope out the line and see what a scalper looks like and what he/she does and get a feel of what prices are going for nowadays.
I agree though that for $400 is probably not enough. Premium ticket face value is now $549 I think and $199 for regular orchestra.
If it's meant to be, then enter the $10 lottery and if you're meant to watch the OBC, then you'll win. If not, then so be it. The show was in the Public early 2015 and I think prices ranged from $50-$100 back then.