I believe Packet CD from CeQuadrat and InCD from Ahead software allow you to do the same.
However, deinstall DirectCD completely when using another program, for DirectCD is a mess to begin with (in my opnion).
Maybe you can check out www.roxio.com for upgrades and Windows ME compatibility of DirectCD, because it SHOULD work (even though I don't like the program one bit)....
Maybe this was of any help to you
ps you mighth want to check out http://www.cdrsoft.net/ to help you find these above mentioned programs.