Is there a way for my parents to advertise the bank's sale of the house to drum up interest and maximize chances of healthy bidding? 

Your Tenant won't accept the other rental, which clearly indicates he's not concerned about his health. I

There's a healthy flux of people moving north from Illinois, and the FoxConn development in Racine will likely continue to lure people from south of the border.

I have the financial means for a healthy down payment and would like to get started on this journey.

I would have to investigate the area to make sure it is zoned for what you want to build, make sure that there are no problems with soil and researching the geographic area to give you statistics on what you can expect to profit on your project.

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I have good definition and I am healthy and that is the main idea behind working out.

You can do cross collateraltization for your purchase for the 20% down with a smaller bank with a healthy commerical loan department.

They may seem to be the opposite of what you are asking, but there is some healthy debate that may get you thinking.

The idea that the government can now reach into our pockets (at the expense of healthy markets) to find the needed cash to transfer the wealth to the malinvested housing market is dangerous.