My other units are all owned free and clear if collateral is needed.  

Can we use equity on other properties as collateral instead of a down payment so we can retain our liquid capital? 

Quote from @Scott Mac: Quote from @Jay Hinrichs:small commercial banks are relationship based.. they use the 3 Cs  collateral  capacity and Character but Character can be a big one with them.. they are in business to help their community.Right now today they ALL want / need deposits.. so you will want to lead with deposits not just open an account that does not mean anything.. moving in 200 to 500k in cash will get you an appointment with the senior loan officer which is the one you want to get to know and the head credit officer and hopefully the bank president ( which is usually the owner) .. thats how I have done it. and I am going on 33 years with my key commercial banker in Oregon.

A common option I see for people to bridge this gap is to collateralize another property and get a cash out loan, although rates depend on what your are purchasing the new property for (primary resi vs investment property).

You’re offering zero collateral.

As you create collateral that will pay off insure repayment of your investments in approximately 13 years.

Cross-collateralization (or a blanket loan):If the equity in your BRRRR is strong post-refi, some portfolio lenders may allow you to use that equity as security toward the down payment on the new property—without needing to actually pull cash out.2.

If you want the funds for short term use (for example, to buy a house with cash and rehab to flip/ or refi to rent) then our pledged collateral program might work for you.

However, this approach does carry personal risk since your home is the collateral.

Check with them to see what you are legally allowed to demand from the tenant and if you are allowed to use their security deposit as collateral for any outstanding balances owed.