The last version from fedora's virtio driver repo with the boot floppy provided is virtio-win-0.1.190-1.
You might be able to perform a drive controller swap as opposed to reinstalling. Essentially : On Vmware's end, add new hardware via control panel's add new hardware and specifying you have the disk, and see if you can manually install the virtio driver and then shutdown. Then try booting the instance in qemu while using the virtio device as the main drive controller. If that does not work, you could try to remove the controller in Vware's end and then shutdown and boot from qemu.