I have a secret method I have used several times to obtain the coordinates of certain types of "puzzle" caches without even attempting to solve the intended puzzle. To get the actual coordinates for this cache, you will either need to read my mind, or figure out my secret method!
I am thinking of a number, an integer actually. Let's call that number "I".
Latitude = I * 26022.7572254
Longitude = I * 53856.2947977
The coordinates you get should be interpreted as DD MM.mmm in format.
You are searching for a very small, log-only micro-cache. Bring your own pencil to sign the log.