Wow, that was easy. The EyeFi (or the others) sounds like exactly what I was looking for. I'm hoping to do a little weekend bikepacking trip and if I have time I'll pick one of them up before I leave.
The OTG is another great option. I'm not married to the iPhone, so if the EyeFi doesn't work I can always go the Android route.
Both options sound rather simple. I'm surprised none of the employees at the Verizon shops knew these options. Their best suggestion was to strap a GoPro on my helmet, film all day and grab screen shots from the video. I wasn't convinced I wanted to film ten hours of bike touring a day, then go through ten hours of video each night.
Thanks for your help. That gives me some fun ideas to play with.