Rudy's right - while many programs have no minimum loan size lenders often do not accept loans below a certain threshold. Ironically this has more to do with government regulation than anything else. We are prohibited from doing "high cost" loans where fees exceed a certain percentage of the loan's value. In your case, we could not recover expenses beyond the cost of the appraisal and a few other items - in other words, we would be taking a loss since we can't pass on all the normal charges to you. Despite the law's good intentions, it hurts many of those it was designed to protect.
You can always try to obtain an unsecured loan with a local bank. If you do that just be certain to have an excellent real estate attorney representing you when you purchase.
Best wishes! I hope you get your home!