The temptation to start a competative private leader board will be great, just for the mentioned reason. I have a reference my scores in my CV. The competative part of AoC is one of the things that I find attractive and also has taught me some valuable lessons about coding, like taking some time to review the code the first time before submitting. I experienced several times that I spend of time to debug a small bug due to a minor error, that I could have caught had I spend some time reviewing. Especially with the first puzzles, I try to get it right the fitst time with respect to compiling and execution.
I will search for a pure C private group to join that only allows a small library for things like reading the input as an array of strings.