V-Brake levers for drop handlebars?
Sounds like you want to use your current V-Brakes, but if getting new brakes, TRP makes mini V-Brakes that are STI lever compatible, sometimes called a brifter (brakes and shifting in one lever). Most V-Brakes have a different pull ratio which is not compatible with brifters.

The TRP CX9 is for Shimano STI levers

The TRP CX8.4 is for SRAM and Campagnolo levers