My 1st ever trip to SD I stayed in Hosmer and hunted that area up to Eureka and north of it. Being 1st time ever out there, took a bit to figure out what I needed to look for. Next couple of years stayed in Hecla, but still made a day run over to the Eureka area to hit familiar spots and found some new spots east of Eureka that produced too. Plenty of birds to run into over that way, however you will run in to some pressure right around Eureka...but if you find a good piece, hunt it, even if it has been hit.
My best properties are GPA, then WPA, then WIA adjacent to crops/water.
Use the maps to narrow down a couple of properties and go hunt them. Good thing about not being able to hunt til 10am is you can drive and scout in the morning and not feel like you are missing time in the field. Also gives the dog some extra recovery time.