Assuming that 1GB of data equals about 200,000 printed pages, 4GB worth of data on standard A4 paper (80g/mē) would have the following dimensions:
Weight: about 4 metric tons / 8818 lbs
Volume: 21cm x 29.7cm x
80m / 8.27"x11.7"x
262ft
Also assuming that a trained pigeon can carry up to 75g, it would take a swarm of over 53,000 pigeons to carry 4GB of printed data in one haul.
Not to mention coordination issues.
Sill, I'm somewhat fond of the idea

:
Aerial
Data
Service
LogisticsŪ