I got a Viper-400 from Samash. I play in Drop-C tuning 90% of the time, and plan on getting Ernie Ball Not Even Slinky strings thrown on it.

What should I ask the set up guy to do to the guitar? Should I request action adjustments? I'm not experienced / educated enough to know for myself if it is in need of any adjustments, but just going off of what you know, is there anything on the guitar I should ask to have adjusted to better play in drop tuning?

Tell him you want to get everything adjusted to its optimal level. I assume you'll want a low action, so tell him that. That's really all he should need to know. If there's any buzz, make him aware.
Fender '72 Telecaster Deluxe Reissue -> Korg Pitchblack Tuner -> Boss PS-5 -> EHX Big Muff -> MXR EVH Phase 90 -> Menatone Pleasure Trem 5000 -> Line 6 Verbzilla -> MXR Carbon Copy -> Boss RC-2 -> Peavey Classic 50