Your bars only feel too low because you don't have nearly enough reach. Even though you don't have a mountain bike there, it is a flat bar bike, so the fit will be about the same. Make your fit look like this:
Except for the model's horribly rounded back, this looks about right. IOW don't fret about bar height so much, get more reach and bar height ill be fine because you're not stretching down for the bars, you're leaning forward to reach them. This is also much more comfortable. If the spine is nearly vertical, it can't absorb road shocks with makes both your back and your butt sorer.