I watched a BP podcast where it was discussed that telling others about your objectives/goals increases the likelihood you will accomplish those objectives like you said to avoid embarrassment. 

The call should be quick as you cycle through loan specialists.

It sounds like you're selling the inventory for the owner company as a listing specialist, not being a buyer's specialist.In my market with the teams I'm familiar with, a buyer specialist takes buyer leads from a rainmaker and the takes them out, finds them a house, and closes them for a commission split with the rainmaker.A listing specialist would handle inventory already under a listing contract with the rainmaker by marketing it and selling it. 

Sell and buy wherever.The objective is to use all of the proceeds from the sale for replacement propert(ies).

You need to talk to a specialist, though, because I believe there may be distance issues and other complications.

However, I'm interested in not using a realtor and self-listing to achieve two objectives: 1) realize targeted proceeds and 2) relatively quick sale.I think that by not having a realtor I can keep the price lower and therefore attract more potential buyers and/or speed up a sale, all while achieving my financial target.

My objective is to put 20% down, or enough to cover the mortgage and have my tenant pay for the mortgage every month.

If you want to do it right, get a zoning specialist attorney, not some contract closer who thinks they can muddle through this. 

You always need to consult a specialist in the field before making a decision or do you own due diligence by researching fully the subject.Being a CPA or a lawyer does not mean that you can't be wrong.

Every investor has to decide for themselves what their objectives are, why they are doing it and what they expect as a return.