Hi Bill
If I understand you correctly, your school's computer lab has access to the Web. Just the school authorities do not provide you a web server. That is why, you are thinking of running one inside the school LAN. Right?
The next question: Did you think how your pupils access the LMS from home? Unless the network operators of your school cooperate, you can not make a web server inside the LAN to be accessible from the Internet.
If you plan to invest on learning the Open Source way, here is a chance: "Video Tutorial - Install Moodle on a virtual Box from scratch" https://moodle.org/mod/forum/discuss.php?d=199542.
Installing and upgrading help
Set-up Moodle on Local Network
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