If you have a budget and allocate the costs, not sure why you would need a different bank account for each?

Meaning, the bank wants to see that a property cash flows for typically one to two years of tax returns before they count it as income. 

I have a bank locally that will use DOT as collateral for loans.

They switch banks and ask for an extension and add another $2500 deposit as a show of good faith. 

When you go to a Bank or Credit Union, they can only offer you what products that bank or credit union offer. 

@Brice Alef-Torrisi putting each property in its own LLC is usually overkill.Getting a bank account for each LLC is typically something you need to do to avoid "piercing of the LLC corporate veil" (actually depends on tax selection you made for LLC), but is also overkill.You haven't indicated how you are holding the deed for the latest property.If in your name or same LLC, you don't need a separate bank account.If in separate LLC, you can create a Master LLC, have each property LLC hire the Master LLC to manage their affairs, and just get a bank account for Master LLC.This is an opinion, not advice, so lookup CPA Frank Alcini in Troy for expert advice.

Banks had no reason to call notes due.

Quote from @Will Cruz: Does anyone know of a Bank that is willing to do a HELOC on an investment property?

Go to Solera National Bank or Titan bank, both of them specialize in accounts like this. 

@Zach Denny  Similar to what Minna posted above, I have done with a local portfolio lender bank where they set their own lending rules.