In my opinion, it will be tough if you only have $2000. Even if you get the seller to pay closing costs you'll still won't be able to fund your escrows, assuming you get the full 3.5% down payment from the grant.
You may want to check out http://www.NACA.com.
I am a Mortgage Counselor there, offering mortgages with NO down payment, NO closing costs, and we do not use FICO scores. Also, you can purchase anywhere, while some grant programs require that you buy in some areas.
Contact me with any questions.