I would suggest putting them on Mac Formatted Floppies and finding somebody with a G3 Wallstreet or Beige G3 desktop. The only other option would be to pull the hard drive and put it in an external SCSI case (and then use a Wallstreet, Lombard or Beige G3) or duplicate it onto an external SCSI drive (I have a few lying around). External SCSI zip would also be an option but those can be pricey ($50) as they are still used by musicians with 1990s vintage gear.

If you have any Classic Mac with USB and internet you could pick up an Imation USB floppy very cheap.

Back in the day HQX was "invented" for sending Mac files over non HFS file systems.
You may need a full version of Stuffit to get all features including segmenting and or hqx-ing.
http://macintoshgarden.org/apps/stuffit-deluxe

For really small files and an emulator as target, you might also create a new folder, copy in your stuff and select "Make image from Folder" in DiskCopy. The resulting NDFIF image may travel on a DOS floppy and can be mounted easily with emulators or Macs.

For taking out the 6300`s HDD, you may also read write it with a PC equipped with a SCSI HBA.
BasiliskII Build 142 could handle Mac SCSI devices very well.
HBAs like this go for little money here: http://kleinanzeigen.ebay.de/anzeigen/s-anzeige/adaptec-scsi-card-2904cd-originalverpackt-!!/20193561-225-999

Almost every USB floppy should do.
OSX uses Class Device Drivers natively, anything with a USB2 plug did work with 10.8 here.
Reading HFS floppies is still possible.

I've tried copying the files to a PC formatted floppy disk and putting them onto a PC of mine that has a floppy drive, but I think they might have lost some data forks in the process, being that their names and extensions are totally off. Any ideas?

Creating ".sit" files with DropStuff and placing them onto PC formatted floppies for transferring is OK, with just a couple of things to consider...

When you drag/copy a file to a DOS formatted floppy on your Mac, hidden "underneath the hood", the Mac uses "PC Exchange" to handle the transfer.

I'm not 100% certain, but I think that earlier (than Mac OS 8.x) versions of the Mac OS with "PC Exchange" use DOS filenaming conventions, i.e; up to eight alphanumeric characters without spaces followed by a period "." plus a 3 letter suffix ending. PC Exchange on these systems may truncate file names if too long

When using DropStuff to create an archive you might end up with a compressed file that has a longer than an 8x3 file name, for example: "System_7.1_800k_version.sit".

- So before you drag/copy it over to the floppy on an old Mac OS 7.x, rename the file to something that won't get mangled by your system's "PC Exchange" software, for example "SSW7x800.sit".

Also, the .sit files may lose their file & creator types during the transfer, but they will still expand OK by dragging their icons over onto Stuffit Expander's icon (make sure you copy the .sit's from the DOS floppy, to destination Mac's hard drive 1st).

Wrote a whole page on networking, with many other subjects.

www.applefool.com/se30

With 10.8.5 only dd may work, somehow.
I wrote a how to over at Emaculation for writing to floppy with dd. Should work the other way round too.
http://www.emaculation.com/forum/viewtopic.php?f=7&t=8208

My best bet would be a Leopard Server 10.5.X instance running in VMWare to handle the floppies.

You can make proper Disk Copy 4.2 or NDIF (.img) disk images using Disk Utility in OS X. To do this, you must enable advanced image options, which includes these legacy formats, by entering the Terminal command

defaults write com.apple.DiskUtility advanced-image-options 1

(To undo this command, change the 1 to 0.)

So to make a read-only .img file, insert the floppy into your USB floppy drive, then in Disk Utility, select the volume (which is indented under the floppy drive device, do not select the device itself), click New Image, and select "NDIF read-only" for the image format.

You might want to lock the floppy disk first to stop Mac OS X from adding any of its invisible files, which would then appear in the disk image.

Thanks for the tip, NucAR! I totally missed the hidden DiskCopy features.
I wondered why the were enabled in SL Server though.

Normal 10.8.5 should be able to read and write floppies with DD, i do it all the time (i use sheepshaver to make the images).

10.8.5 seems to mount HFS floppies fine (no writing though). it shouldn't as there is not HFS support but oddly it dose

FAT32 formatted volumes are natively supported on Intel Macs until today.
Apple merely dropped support for its proprietary HFS file system - Thank you Apple!

FAT HD floppies should work without issues, 2DD floppy support will depend on your USB floppy drive.

Is this just me then? i swear HFS floppies read fine on OSX Mountain lion

I doubt there's anything wrong with the floppy drive nor the disk.

Some floppy disk formats are read-only in Mac OS X (some like Amiga disks can't even be read), but creating the disk image should be saving to your hard drive, so doesn't involve writing to the floppy drive anyway.

On a side note, my USB floppy drive is continually polled by Mac OS X, which is annoying when there's no disk in it.

did you unmount the floppy before writing? (sudo umount /dev/diskx will do it) if you don't you will get a message saying the disk is locked

Yes that is what it should be doing.

Run umount (or unmount from diskutil, do not press eject though) and the volume should disappear (but the device should still be in the disk util list, but grayed out) then dd will be able to write to it

Max is of course right, that HFS floppies can be read by 10.8.X.
Creating a disk image with the hidden DiskCopy options does work too (as pointed out above).
Writing data to a HFS floppy is not possible from userland, thats why I posted the link to emaculation.

If HFS floppies shall be used frequently in OSX, I would recommend setting up 10.4 Tiger Server or 10.5 Leopard Server in virtual machine. Both 10.4 and 10.5 handle HFS floppies in USB devices like a charm.

Looks good to me, I´ll write your file to floppy and report back soon.