I've done a lot, and I do mean a lot of leases over the years, and I concur with the others that with a good explanation, there are landlords out there who will take your family assuming the income is consistent and you have a cushion of money in the bank. Your credit scores are good enough for FHA to sell you a house, and these days there are lenders who will lend 1 day after the close of a short sell (subject to review) with credit scores in the 600's. So to answer your question, absolutely. I'd be happy to take on your cause.
Windem Real Estate