AFAIK WinME is based on the Win9x kernel which is both 16bit(DOS) and 32bit(GUI) modes. You should, although I am not familiar with the OS, be able to get the command prompt by going to run and typing "command". If not there likely is a way that you could get the OS(DOS) to run.(I just am not familiar with WinME OS at all.)
IFRC MS attempted to make the OS appear as if it was Win2000 based by playing around with the GUI appearance, but it is still based on the 16bit/32bit mode kernel found in Win98. Therefore you should be able to evolke the DOS 16bit mode. But from what I have learned at school WinME IS in fact a poor OS but I wouldn't lay Nvidias driver problems on the Win9x kernel.
IFRC MS attempted to make the OS appear as if it was Win2000 based by playing around with the GUI appearance, but it is still based on the 16bit/32bit mode kernel found in Win98. Therefore you should be able to evolke the DOS 16bit mode. But from what I have learned at school WinME IS in fact a poor OS but I wouldn't lay Nvidias driver problems on the Win9x kernel.