You could install without a DE and then install a DE from the network repository afterwards. I have no experience with eMacs but I heard you need to deal with some EDID firmware stuff first. Some instructions for Debian were linked to me a while ago:
https://pastebin.com/dd7N4nXf
As the radeon driver in the kernel (nor the X11 driver) does not support UMS anymore, graphical environment won't work with it, which is why it's flickering. Your choices are either to get accelerated desktop with KMS, using the instructions in the pastebin (the .bin file is here:
https://www.file-upload.net/download-13809617/1280x960.bin.html) or to disable radeon entirely and use unaccelerated fbdev.
For Void, a translation of the instructions would be something like
1) install a console only system.
2) install the EDID firmware .bin file in the appropriate directory like in the pastebin
3) create a file /etc/dracut.conf.d/emac-edid.conf, and put this in it:
install_items+=" /lib/firmware/edid/1280x960.bin"
4) regenerate your initramfs for your kernel version. For kernel 5.3, it would be:
xbps-reconfigure -f linux5.3
If using kernel 5.4, use linux5.4, and so on.
5) Open /etc/default/grub, and in GRUB_CMDLINE_LINUX_DEFAULT, add "drm.edid_firmware=edid/1280x960.bin" to the parameters. You can also do this manually in GRUB itself, by pressing 'e' on the item you're booting and modifying its command line.
6) Refresh your grub configuration with update-grub (if using yaboot, do it the yaboot way, but Void does not officially support yaboot)
7) Reboot, this time without nomodeset.
8) Install the desktop environment of your choice using xbps-install.
It might not be entirely accurate, as I don't own this hardware. If there are any issues, you will need to adjust these. If you get it working, please post your instructions here and I will make a FAQ entry out of it.