@Brian DeLorme  I have for the down payment, shorter term. 

I would say "my typical policy for a shorter term lease is an additional charge of $xxx per month.

I don’t mind low cashflow in a high appreciation market or because of a short term loan but you already said this is low appreciation and didn’t specify a 15 year or shorter loan. 

I'd ask the local attorneys what the law is like and how bad it would be to end up with a terrible tenant, then weigh the risks/rewards of shorter/longer leases.

But since there is a limit to how much money the bank has access to....their rate will be higher...and usually a shorter term.

Keep in mind for running your numbers that commercial loans are generally higher interest rates and shorter terms. 

We do manage a few furnished places, but they're more often than not shorter-term situations, e.g. a homeowner needs to relocate for a few months or a year for work, but intends to come back at some definite future time.

If so then going with a lender that works in the shorter time horizon might be a good idea. 

Yes although it varies from lender to lender commercial rates are generally higher and have a shorter amortization schedule with a balloon payment in a 3-7 years.

I've heard of shorter, but it's pretty rare.