Never come across any v-brake friendly STI, brifters or Ergo brake/gear levers.
Tektro and Dia-Compe do some v-brake friendly brake levers which you could use bar end gear shifters with or you could look at mini-v-brakes instead of the motolites……
I’ve looked into this as I was going to do something similar but have decided to stay on 26″ wheels and use an alternative bar to avoid all of the issues with the brakes and drop-bars.
If you have disc mounts there are road friendly disc brakes out there…….