Do you happen to have a desktop computer handy? if so, you could possibly temporarily connect the SSD to the desktop, using the cables normally used for your optical drive.
After that, you would problably want to use a firmware-level erase program or a erase program that's designed for SSDs
And how difficult is it to remove the drive? Some laptops allow you to just pop out the drive, while others require full dissassembally. it'd be nice to know so we can plan out questions and requests accordingly.