"proceed to drive" is a correct and usable phrase in written English.
You can use it when you want to tell someone to continue their journey by getting in a car and driving to another place. For example: Once you have packed your bags and loaded them in the car, proceed to drive to the airport.
They then proceed to drive it cross-country.
They proceed to drive Mingus and Marion crazy, so much so that cracks begin to show in the couple's relationship.
With the card, proceed to drive down Sports Lane to our camper area (you will see a red stop sign).
But the team ticked over the 1,000 mark with a 1/3 tank of gas left and proceed to drive an extra 445.7 miles.
They proceed to drive Zhang Bao out of his fortress at He Nan Yin and the whole Han army triumphs over Zhang Jiao himself in Ji Province (If Zhang Jiao withdraws from the battle, one of the forces, either Wei, Wu, or Shu, will defeat Zhang Jiao and Zhang Lu in Hanzhong).
You read the sticker on the window when you buy the car, or do your homework online for buying a used car, and armed with the info from the EPA, or other authorities on the subject, you buy your car and proceed to drive.
I became obsessed with my child's college plans, and proceeded to drive my entire family, me included, nuts.
We proceeded to drive in a convoy of three, up into the hills, to Onzo, about 15 miles inland.
Having made his reign democracy-proof, Detroit's emergency manager has proceeded to drive the city toward bankruptcy.
Not to be outdone, the rebels rounded up several hundred of theirs before dawn the next day and proceeded to drive their foes out.
Georgia received the second-half kickoff and proceeded to drive 75 yards in nine plays for a 14-10 lead over Alabama in the SEC Championship game.
