What's a good product smaller than a construction loan?

[Ryan Pierce]

I'm going to be constructing a single family but the loan amount needed will be far lower than a construction loan will allow, $70k of financing will be required and lender I spoke with said no lender would loan below $200k. I have excellent credit and when it's time to borrow will have 35-40% down.

What type of financial products are available with these constraints? I'm early in the game of researching finance and need to find what type of product to call the lenders about.