My 323 is not that different from the 373. I have a Lewmar traveller on the cabin top forward of the hatch. It has cam cleats at each end that are adjusted to angle slightly inboard.
The traveller lines are long enough, like Greg’s, to reach the cockpit seats. On a breezy day, I can drape them over the instrument pod so that they don’t normally end up on the cockpit floor.
I learned to drop the traveller in a puff, and pull it back up in a lull. Its a simple “flip” up to uncleat the windward line and then pull back through the cam cleat to pull the traveller back to windward.
I don’t normally make macro adjustments with the main sheet, and if I am single handing I will put in a reef sooner rather than later. Even with a deep draft keel, the boat is tender, and will round up fairly quickly if its overpowered.
My way of adjusting seems to work well for me on my boat, but may not be everyone’s preferred method. It all depends on personal preference, learning experience, and how the boat itself responds.