1. You can try the USDA loans if possible in your area:
http://eligibility.sc.egov.usda.gov/eligibility/welcomeAction.do?NavKey=home@1 .... its 100% no monthly MI. Income limitations. It does not have to be out in BFE there are some parts in CA an hour away from downtown los angeles that qualify. Which I am sure Prodigy has heard of since its in his area.
2. For the FHA you can try to have the seller participate in a Down Payment Assistance Program like the Nehemiah Program at
http://www.getdownpayment.com If the seller is willing to give 6% concessions then use half (3%) for closing and the other half (3%) for the down payment. So there is your 100% but the 3% (down payment) is never paid on. There is a fee of $500 I think or $750 I forget. Anyone can pay for it the seller, buyer etc.
3. In CA for CA properties there is a lender that is taking out a second for the decline percentage and that becomes 100%. But there is still MI on the first lien.
Hope this helps. PM me for more info.