@Governor
Based on the fact that you want to boot from your internal SSD drive, I've been thinking about that first.
If you formatted the SSD drive to ext4 using gparted, did you happen to re-write the partition table first? I'm wondering if grub4dos doesn't see a valid boot partition because of the format of the partition table.
I have two laptops with SSD drives. When I wiped windows and formatted the drives, I re-wrote the partition tables to 'ms-dos' format. I'm not sure if this would address the bootloader issue or not. You can't reformat that drive until you are first able to run a CD install or USB install, because right now the SSD install appears to be your only working copy.
If you don't have a bootloader on SSD and you are booting from the CD bootloader into a running puppy on the SSD drive, it should be possible to boot into the CD install, which is a working puppy. Why it's not giving you the option is still eluding me.