Again, you can’t be forced to sell , your other option is a cash buyer without an aversion to riskAs @jonathan Greene provided, you can use the pretty standard “distressed sale” verbiage telling the buyer that you have no intention of making any improvements or alterations to the property, and you aren’t even going to do the customary tasks sellers normally do for a transaction — you asked how not to have any liability for this transaction.

I can't speak for every lender here obviously but using a HELOC for proof of funds is a normal procedure.

I don't have many routers, but I have the cable modem/router in every house.Can the Universal Wireless Adaptor be connected to the Netgear modem/router and have it broadcast the signal?

That number is normally 30 or 60 days.

Is it normal for the seller of a multi-family property (5 units) to ask me, an investor inquiring about their property, for a Proof of Funds or Pre-approval letter when I am just asking questions like to see the rent roll, losses and profits for the last 3 years and other relevant info to do my due diligence? 

The lease says "If the Tenant remains in possession after the Termination date, and the Landlord accepts rent payment from the Tenant, this Lease Agreement shall become a month-to-month tenancy that renews automatically each month until it is terminated by either the Landlord or the Tenant by providing a written notice to the other party not less than 30 days before the date that tenant’s next rent payment would normally be due".

@Todd Powell I worked with a terrific woman who was similarly "forced" to make a decision sooner than wood be normal.

So while the delta from appraisal is only 2k under normal circumstances, it will actually work out to be more than that.

Normally, the whole point of the refi is to reduce your payments it should your dti get within range. 

Lowball and you may have to make a few more offers than normal.