There are apps like DroidMote (here) that allow you to control one Android device from another, so if you had an Android phone or tablet you could use that to initialize the app, change songs, etc. I'd say that would be better than using the IR remote anyway.
Or, alternately, you could do something like have the Minix on a switchable power supply and set up a Tasker profile that launches your media player on bootup. That way you could switch on the power supply (there are some with remotes for that, I believe) and it should start right up! Although in this scenario you'd still need a method for changing songs, etc (remote or app like above).
Or, alternately alternately, something like this might work, and it has the added benefit of having a touchscreen, buttons, and a voice input should you want to use that. (If you're looking at one of these, check your local corporate Verizon Wireless store first, b/c I think they have them on sale for like $40 now).
EDIT: the remote in the third option does not technically have a touchscreen, it has a touchpad to control a touchscreen. We deeply regret the error and sincerely apologize to any and all who may have been confused by this report.
EDIT Part Deux: the Motorola remote control looks like it needs Bluetooth HID profile support, and the minix.us website does not list the profiles supported by the X5 or G4, so I sent them a message asking about it. I'll post the response when I get it.
Edited by Theogenes - 1/27/13 at 7:46am