Hi Manuel,
In regards to your question, “Is this one of those cases when I won't get approved due to lack of "skin in the game?" Your assumption is correct. You will not be able to get conventional loan since the bank will know that you are recording a second and do not have money for down payment. The same is true of PML, you will not be able to get a loan without a down payment.
The way to go around your problem is to create a partnership where the partner provides the funds for down payment and the partnership get a loan. However, at this level, you are faced with a new set of issues.
Assuming the potential partner is not a family member you will need to convince him or her that his/her money will not be at a high risk. To accomplish this you have to demonstrate that you know what you are doing, the purchase is at an excellent price, and you realistically forecast a profit including a margin of safety. To prove all this one must provide a fix- up estimate, timing schedule, and market analysis to show how the profitability of the project is good.
However, if you do all this but this is your first project, it will be tough to find a partner for the down payment. So now the question is how do you overcome a lack of experience problem? This is simple. Find excellent property and partner up with an experienced flipper. If you do that once or twice you will be on the way flipping properties yourself.