It sounds like the Title Co. was not aware that the tenant prepaid rent and just prorated the current rent for the month of closing, so agree if they had no knowledge of it, would not have ever gone on the settlement statement as a credit to the buyer and they likely will not do anything post closing to help obtain those funds. 

Off market deals usually have nonrefundable deposits and a clunkier process that isn't as suited for out of state people until they have good contacts in the area to evaluate the property (mostly contractors that feel comfortable evaluating projects for you).

I was heading down a similar path and fortunately I cancelled my contract and forfeited my deposit. 

Set up a Joint account with the seller so you can make deposits to continue the automatic payments to the lender until you refinance the property.Thanks,Dustin

-Decreased security deposit to 1x for MTR.

Additionally, young adults are living together with no intention of marriage.  

I am subletting a property that I am planning on purchasing the set up where instead of any type of security deposit I am re-having the property which is necessary before I rent it out.I will have about $20,000 in expenses all before I purchased the property.

Most will be happy to accept the check and deposit them for you.

Making additional payments or taking a shorter term are just depositing more into that savings account (it's not like the property appreciates more by paying down the loan). 

house in decent condition . no application / no interest so far.is that make sense?