here is an idea that I feel has some big flaw I can't put my finger on.
The scenario is: Alice will go overseas for 5 days and will hopefully retrieve some information and send it back to Bob. She does not want to let anyone listening to know what day she got the information. She is taking with her a one time pad the size of the information, and a hardware random number generator.
The solution I thought of was:
Alice and Bob at home
Alice creates new key(key1) > Bob (key1)
Alice travels to Elbonia
Alice creates new key (key2) XOR key1 > Bob (key2)
Alice creates new key (key3) XOR key2 > Bob (key3)
Alice creates msg + padding (msg) XOR key3 > Bob (msg)
Alice creates new (rand) > Bob (rand)
Alice creates new (rand) > Bob (rand)
Alice travels home
Is this system any better or worse than just sending the encrypted message the day she receives the information, and pure random data on the other days?