Look outside the traditional lenders.  

My student rental turnover is considerably higher compared to traditional rentals and not uncommon for the majority of units to only have tenants for 1 year.  

generally, motivated sellers cant wait 30 to 45 days for traditional financing. 

There is no reason to not have traditional AND unconventional ways of acquiring property.  

I would say I would like to take a conservative approach to finance with either a cash purchase of a low end property or a traditional mortgage and use any free cash flow from a property to ether pay down additional prinical or save for the down payment for future property.

Most people on this site are really good and have a lot of experience so I'm sure you'll get some good feedback.In regards to the LLC just remember that when you put a home under one on title it will disqualify you from getting traditional financing.

If you are using traditional financing you will likely need to keep buying in your personal name.

I have seen banks wanting you to own the property for 2 years before they will give you a loan on it.If you have not owned it long enough to satisfy a bank, you might be able to approach private lenders in your area.Best thing is ask everyone (banks and non-traditional lenders) what they will do for you and see what they say.

Sky Mikesell here based in Charlotte NC. if this is a foreclosure sale then most states allow for an accelerated removal process of any stay over occupants. .. when i say accelerated that means it is faster then traditional eviction proceedings.    

@Brian Lauchner Prosperity Bank (based out of Corpus Christi as I recall) seems to do a lot of non-traditional type loans.