You have already clarified the two dominant factors. It all depends on your tolerance for noise versus your tolerance for an "eye sore." My tolerance for noise is less.

It is not necessary to mount a giant up-blast external blower (like restaurants use) on your roof; a centrifugal low blower of the type Broan, Wolf, Abbaka, etc. make is significantly less obtrusive.

Or, accept the long duct run as an opportunity to install an in-line sound suppressor to make the hood reasonably quiet.

For additional refinement, the fan curves of both internal and external blowers should be consulted for performance with different lengths of duct and bends. The roof fan can always be made larger to accommodate pressure losses, while the internal fan may not be so easily swapped.

Bigger on the roof provides another advantage; lower noise at lower speeds where the internal fan might be running on high for the same flow rate.

kas