Lj, What do you mean not smooth? Do you feel roller texture from the primer coat or are you talking imperfections? Like poor mud job?
All I do is smooth walls. Luckily I work behind picky drywall guys. Some of them shoot the primer coat. Was the primer coat rolled?
If those guys primed it poorly, and you do eggshell, you will see every bit of the crappiness of the undercoat through your finish. No doubt.
Nice size house... sounds like lots of pole sanding. Have you seen the pole sander mod I posted? That will come in handy on this job. Its here on this forum but might be quicker to google jackpauhl+polesander
I'd argue that Duration Home cannot be done in one primer and one finish on new board. Hell, 2 coats is questionable and touchups would likely fail on sheen matching.
On Builders Solution: designed to spray 20 mil but can roll it but expect it to rain paint while you roll. Might want to stand back 6' at least.