iPod touch (4th-gen) not getting picked up by iTunes

Hello! I accidentally quit iTunes while it was restoring my iPod touch 4th-gen via IPSW (it was a 6.1.6 IPSW, the newest available version for my iPod). Now, nothing will recognize it and it won't boot. No matter how long I hold the power button it just doesn't turn on at all, no screen, no backlight, nothing. iTunes won't pick it up either, so I can't restore it that way. My home button is also broken so DFU mode is out of the question. How do I fix this? Thanks!