Hi. I recently nuked my system

dd if=myisofile.iso of=/dev/Xi bs=2M

(I stopped the command when I realised about my mistake). /dev/Xi had a LUKS partition which held an LVM group with M number of groups. The original geometry of /dev/X, is backed up. Even the geometry of the LVM group is backed up. I still have my password to open (decrypt) /dev/Xn. For simplicity, let us say that
X = sda --> /dev/sda
Xi = sda1 --> /dev/sda1

What I don't have is a freaking backup of the LUKS headers.

I am currently trying to get my data back. I don't have enough hardware to create a back-up of the unit. The idea at the moment is to try to re-encrypt Xi with the same password, but this sounds like a no-go. Something else is to try with testdisk somehow, but I don't even know how :P . Any ideas? Thank you!