Give Away the Kindle Version to Sell the Print Version?

I'm trying an experiment, can I give away enough Kindle books to increase the sales of the print version of Teddy Visits Mitchell Farms(Link).

Hopefully something like this will happen:
Free downloads = Reads = Exposure + Shares = More Sales = Reads = Exposure + Shares = More Sales... Think of this as a circle with free downloads going in and dollars coming out.

To facilitate the free downloads I am using Kindle Select. That allows me to give it away 5 days per quarter. One free day was used after the Mississippi Peanut Festival, two more this weekend and two more next weekend. These dates were intentionally chosen to coincide with Mitchell Farms' pumpkin patch. My thought process on this was that people at Mitchell Farms might want a book about Mitchell Farms. Throw in some flyers on the counters of the farm's stores, a bitly address(Bit.ly/TVMFKINDLE), and some social media sharing and hopefully this will eventually lead to more sales. We shall see.