Send some xor-ed file out using a non-secure connection and sneak the key out somehow ?
Take photographs/video using the phone, cold-war style ?
Send some xor-ed file out using a non-secure connection and sneak the key out somehow ?
Take photographs/video using the phone, cold-war style ?
Stray thought: You don't have to sneak a OTP out, you only need to sneak it in. Then you do your XORing, transmit the mangled data, and erase that copy of the key.
This said, it's been reported some contractors and employees routinely took home loads of external drives, so your expectation that IO ports are completely disabled might be unrealistic; the NSA is good but it's just another large org, just a bit more paranoid than average.
Hard drives labeled unclassified can be removed from those facilities with special permission but I think hard drives are under more scrutiny nowadays.