@Jeff Tracy
The numbers look good. I like that you included PM cost in the analysis but if you have the time to manage the property yourself you should, because then you can squeeze out a sizable cash flow and get valuable experience.
As for your down payment dilemma, it really depends on the following:
1) Is it easy to find another property with the same cap rate?
If yes,
2) Can you deploy the 37k you have left to buy that property right way?
If no,
3)How long will it take you to replace the 13k that you spent to acquire the 1st one?
Keep in mind that with buying two you provide yourself with ability to earn more money by managing both yourself and diversifying your assets.
On the other hand I am not a fan of putting all the cash you have to buy one property so only do this if you have access to emergency funds. If you don't you should probably do FHA for 1st then keep cash reserves, save more, then buy a 2nd property.