Is it possible to use road-style brifters with an internal gear hub?
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.