The Frightened Stiff, which was first published in 1944, with this Dell edition coming in 1953, was written by Kelley Roos, and centers on his franchise detective Jeff Troy, who along with wife Haila starred in a run of popular mysteries with a comedic bent. This is the third in the set, with cover art by Len Oehmen.
I'll cover his face with the sports section. I think he would have liked that.