29th September is too far ahead for the CTM website to display timetables between Fes and Chefchaouen, I checked their listing for tomorrow and there are four buses leaving Fes, Place Atlas for Chefchaouen, 0800, 1100, 1615, and 2345, journey time four hours and fare 75 dirhams, with one cafe/rest stop at Jorf el Malha, about half way.
So, just try the website once again closer to your date of intended travel, with four departures daily you should have no problem finding seats at the point of departure in Fes.
A couple of years ago I made this journey on CTM from Fes to Chefchaouen. Place Atlas is a long way from the more interesting part of Fes, namely Fes el bali medina, so I walked the relatively short distance from my hotel close to the blue gate Bab Boujloud down to the main bus station (Gare Routiere) where CTM have a small office, mainly for parcel deliveries (Messagerie), entering the building by the front door and turning left I enquired if I could buy my ticket to Chefchaouen a day in advance of travel, it was confirmed by the clerk that this was no problem and that the bus would pick me up here, take me to the main depot at Place Atlas, and the journey to Chefchaouen would begin from there.
This seems to be an ongoing CTM practice where they still maintain offices in the Gare Routieres in order to maintain their presence in competition with independent bus operators, it was also the same routine I experienced the year previously in Marrakesh.
Depending on where you are staying in Fes you might find this solution more suitable, unless staying in the new city.
Some pictures here of the Gare Routiere for orientation......
Any idea what time the bus station is open until to by tickets. We will arriving into Fes and at 6pm and hoping to take the bus to Chefchaouen the next morning. We will enjoy the time in Fes upon return. Let me know. Thanks!!!
CTM guard/officer is a complete hitler.
The CTM website indicates can buy tickets on line with international cc. Have not actually done it yet but I presume it will work.