So stick a raspberry pi rigged to automatically upload the file in your pocket and go use the free wifi at your local library?
given how many camera's are around I wouldn't be surprised if they tracked you down fairly quickly.
How about bolting it to a small drone and flying around until you find an open WiFi you can use? Then fly it into the nearest body of water.
Possibly, depends on how generic a drone you can get though, it might be possible to trace through the drone purchase and/or serial number. If you don't care about time and are willing to spend a bit of money, you could potentially attach an automatic wifi connecting and uploading raspberry pi or similar to the underside of a random car and just let it drive around. In most cities it'll eventually park near an open wifi. You might want to deploy two or three I guess.