In part this is because the most common big fish on the mid-Chesapeake are striped bass, which can be engine-shy.
But I've never found trolling under sail to be much of a problem. Reduce sail until you get a target speed, and slow way down if you get a hit (stopping causes tangles, unless you've got the crew to get the other lines in).
I generally use yo-yos trolling...
Sail Delmarva: Yo-Yo Fishing
... but I use short poles as well. Everything from ultra-light when the fish are small to 40-pound. But never more than 5'6" long. If you have a good compact casting technique, rigging is never a problem.
Fishing from a kayak is cool too. I first tried that a week ago and loved it. Made the fish seem much bigger!