Has nobody else noticed your computer will go to sleep in the middle of a playlist, like no other media player on earth? 
I don't but I'm usually using my PC when I'm playing music so it's not going to sleep.
It does sound like the sort of thing that would annoy more people solely using MusicBee for a HTPC setup though. What equipment are you using? Is there an option somewhere in the chain that allows an HDMI display to be turned off but audio to continue?
Until your request is considered, you might be able to MacGyver a couple of toolbar buttons in MB that use the
powercfg command to disable sleeping while you are playing music.
e.g.
To disable sleeping (on a PC running on AC power):
powercfg -change -standby-timeout-ac 0To enable sleeping after 15 minutes of inactivity:
powercfg -change -standby-timeout-ac 15I'm not sure if you can create toolbar buttons in MB to run batch files, but I think it should work. It's not very elegant, but still a lot easier than digging into the power options every time you start or stop playing music.
-edit-
Forgot to mention the default for any such setting should definitely be
off. Leaving the display on when the computer isn't in use is the exception to the norm (i.e. contrary to what the Power Options control panel says), so any user who wants that behaviour needs to "opt in".
Bee excellent to each other...