I would suggest either improving the Logging.cs class so it logs more things, or to make your own logging system.
There are tons of ways to do what you want, but i'd suggest making an independant module so you can call it from other scripts.
I made one a while ago, but it's for RunUO and might not be a direct porting to ServUO, plus, it's not fool proof and could use some optimization.
I could fix it and post it in the script releases if you desire.