Is it possible to use road-style brifters with an internal gear hub? I have a touring bike with road-style Shimano brifters, which I love. I'm also very intrigued by internal-gear hubs, but these hubs seem to focus on rotary or push-button shifters.

Is it possible to run an internal-gear hub, especially one of the 11-, 12-, or 14-speed ones, with road-style brifters? And if so, what parts would be needed?
Based on the number of other people asking the same question around the internet, I suspect the answer is no.

This page contains the best wrap up I've found of available shifter options for Rohloff hubs.

Mittlemeyer may be bringing out some brifters that work with hydraulic brakes in September, but they've already delayed their earlier March release date.