Howdy Austin,
It would be best to incubate the eggs. In the many years that I have raised pheasants, only a handful ever went broody. Most didn't stay on the clutch long enough to hatch them, they would quit half way through or at the very end 4 or 5 days before hatching.
The ones that did hatch them, didn't know how to take care of the chicks after hatching.
It varies from hen to hen but usually they will lay between 6 to 13 eggs (clutch) before setting on the eggs. If you collect them for incubating, you get more eggs than if you allow them to hatch their own....plus, they aren't known to go broody that often, like chickens do, especially ring necked pheasants.