So, I'm understanding that you do not have a Floppy drive available? How did you install your OS? There is the option to create a dos startup disk under My Computer->Control Panel->Add/Remove Software, and select the startup disk tab. This will create a bootable floppy with CDROM support.
If that is really not an option, and that is the only machine available, there is another possibility available that I can think of. Go to the boot disk site and download a boot disk image that looks good. Then get a copy of loadlin.exe from a linux site or off a linux CD. Then see if you can open a session on DOS Mode (I'm not familiar with all this since I don't run any DOS only games), but I think it's something like run in DOS mode, and then see if you can do a loadlin of the boot disk image you downloaded. I make no guarantees, tho, and it may or may not work (probably won't).