I don't know whether the LG has a black tray; I haven't come across that one before.
If you don't see a DMA checkbox in the drive properties for your drive, you probably have an IDE driver that enables DMA or disables DMA through an included utility, or it may just automatically select whether or not it uses DMA. For example, I have a PCI IDE controller that automatically selects what DMA mode it uses.
Try to see if you can find any utility with your IDE drivers that would allow you to enable DMA.
BTW, what chipset (Intel, VIA, SiS, etc.) do you have?