Well... glad the supports may not be needed for much of the cylinder. The top of the arch has always been a bit weird for me also... especially with smaller nozzle diameters and higher resolution layer heights.
A single support column down the length of the cylinder may be the only way to cure it... I'd probably go with a 3-5mm support "wall" down the middle of the cylinder. Make sure to orient the support perpindicular to the length of the cylinder.
Making the top of the arch flat on the inside may allow the printer to bridge better.
Another option to print without supports is to put the cylinder on its side so the bottom is a vertical wall. It minimizes the messy top portion of the arch. It may be a bit tricky to print the half cylinder on its side... If you can, add manual support "tabs" on the bottom face. This will create a bit more surface area than the single edge to tack / bond the cylinder to the bed surface. Make the tabs small enough so they're easy to break off.

- Red block creates more surface area than the single edge. Remove from part when done.
Hope that helps!