Dp you do 20% down
The below anser is not entirely true. A lot of self employed home owners automatically assume they need a stated income loan, but depending on his tax returns his debt to income ratio may allow a fully documented loan. I can submit them to an underwriter and see exactly what's available? I can be...

Can I get a Piggyback?
Unfortunately, an FHA loan at 95% is your only option. However, most private loans usually come with higher rates so I'd guess you can still constitute benefit even with PMI. Have you gotten an FHA quote?