Two other options you might consider are corporate housing - check out corporporatehousingbyowner and talk to local insurance agents as they often have to find furnished accommodations for insurance customers who have fires, floods or other circumstances that require they be re-housed for an extended period.

I would presume OP simply attempts to accommodate any terms the note investor desires for the loan to the Buyer since that is what it takes to get the capital to the table.  

Plus I scheduled everything on my day off (tomorrow) and now I will most likely have to take additional time off work to accommodate their schedule.

For example an ocean front Oregon Coast Vacation Rental north of Florence to Lincoln City or Cannon Beach will run you anywhere from $500-1500 per night depending on caliber, availability accommodations.

They know if they screw me over they are not likely to find similar accommodation in town as I am considered the landlord with "nice" properties. 

From attention to detail in décor to exclusive services tailored to individual needs, we strive to be more than an accommodation - we are a destination unto ourselves.

Been the RE game in SD for 20 years :) Great point @Kenny Simpson, @Shane Abbott I have a very good 1031 accommodator that you can speak with he's very knowledgeable and local here in SD, I'll PM you his information.

If the tenant is smart enough to call it the right worD, per screening only asks them two questions - Do you have a disability that requires the accommodation of a dog?  

Despite my competitive offer of $286,000 with no contingencies and the flexibility to accommodate a delayed closing of up to 6 months, I ultimately lost the bid to someone offering less but sweetening the deal with a generous offer of 3 months of free accommodation post-closing.In the fiercely competitive real estate landscape of NJ, especially when sellers are asking for delayed closings, incorporating the incentive of a few months of complimentary stay can make a winning difference!

But even so, the place is still sufficient for a mom and child.You don't have discrimination issues concerning family matters when the unit is not large enough by HUD regulation to accommodate the family size.