Eye-fi is SD card based. The D200 is CompactFlash.
This issue is one that us sports shooters see all the time. And it's the reason you see cat5 connections in the D4. And why the wireless transmitters have been around for the pro bodies for a long time.
Really the only effective way to do this is to establish a wireless network covering the range you need, tether the camera, and share that storage with the remote user.