Can I close two properties within 30 days (Conventional Loans)

[Sunil Sehra]

Hi,

I am buying a primary residence in CA, which will hopefully close by May 5,2013 via conventional loan. I have another property (investment property) in Maryland under contract, however the settlement date for this is May 20, 2013 (I have already moved out the settlement date once - earlier it was April 20, 2012). The Primary residence is most important to me but I would like to somehow finance both. I wanted to reach out to the forum and ask for ideas.
Btw - the seller is willing to do a seller-carryback but I am hesitant (I have never done it and based on the way the lenders are acting these days, I am not sure if I would be able to refinance the property in the future).

Regards,

Sunil