Install C++ compiler on old MS-DOS computer with floppies

I have an old MS-DOS computer that I am experimenting with. The computer has an AMD 80386 processor, 1664 KB of RAM, a 50 MB hard drive, and two floppy disk drives: one 3 1/2 inch, the other 5 1/4 inch.

I would like to install a C++ compiler on this computer. DJGPP seems like a viable option, and I already have some of the files copied to the hard drive. However, some of the files are too large to transfer to the machine using a 3 1/2 inch floppy disk, even when they are compressed into a .ZIP file. I would attempt to install the DOS machine's HD in a "modern" computer and transfer the files directly from HD to HD, but there is a program (Vertisoft's DoubleDisk v2.5) that splits the single physical disk into two drive letters, and I do not know if I would be able to access the D: drive from a computer not running the software.

Does anybody know how I might be able to transfer the large files to the MS-DOS computer? I have several 3 1/2 inch floppies, as well as some 5 1/4 inch ones. The "modern" computer mentioned above has one 3 1/2 inch floppy drive and a DVD-RW drive. I have an old CD drive that I might be able to install in the DOS computer, though I have no drivers for it and I'm not sure it would be compatible with the motherboard.

Alternatively, does anyone know of a C++ compiler that would work on this system and could easily be installed using 3 1/2 inch floppies?

Thanks in advanced for your help.

8 July 2014 21:00 Update:

The last time I checked this page, I did not know which utility I could use to span the ZIP file over multiple disks – each one I found in web searches was either paid (I don't feel like spending anything to accomplish this project) or would not work on the DOS computer. Thus, I proceeded to try to install the CD-ROM drive.

Though everything seems to be installed correctly, the MS-DOS prompt never appears after the driver is loaded. In order to keep this question on-topic, I've asked a separate question for this specific problem. More details can be found there: Install a CD-ROM driver on MS-DOS

I think that having a CD-ROM drive installed in this computer may be helpful in the future, so I'll spend some more time trying to get that installed. However, if this turns out unsuccessful, I will take AFH's suggestion and try the COPY /B command. I never knew that that option existed, so I'll have to try it out at some point. It might make Ramhound's solution possible for me.

Thanks for your help.