TUSCON, Ariz. — A few weeks ago, Bryan Goettel, who serves as the Advocacy Director of Exact Sciences, the company that facilitates the Cologuard test, received a message that left him speechless.

The 15th hole at La Paloma Country Club is the place to be at the Cologuard Classic by Exact Sciences. Three grandstands ring the green at the par-4 hole. One is the “Patriots’ Outpost” for ...