Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Knoxville to Monterrey as you normally would.
Leaving on a Friday is a viable option for saving on travel. Heavily demanded days of the week can typically drive up the prices you see. Booking your travel for a less competitive day can save up to 32% on the overall cost on flights from Knoxville to Monterrey.