As you say, Moodle does a lot more than you need. One of the beauties of Moodle though is if you don't need the functionality . . . you can just switch it off.
You will easily meet your requirements using Moodle and there are probably other more basic LMS/CMS that will also suit your requirements. The bonus of going with Moodle, in my opinion, would be if your requirements grow, as tends to happen, you can just switch on/install more functionality while keeping all the records and data from past courses.
Have a read through some of the documentation and if you have any problems just ask in here and someone will help out
Regards
Harry