Blue sun vs noise is a tough matchup I've been trying to figure out how to play. In terms of deckbuilding, I've settled on 2 lotus fields and 2 interns. Other solid choices would be architect and archived memories, which are influence-heavy but also useful in other situations in other matchups as well.
As for piloting the deck, this is where the real skill comes in... If the game goes late, and he gets set up with crypsis and pawnshop, it's very easy to get locked out of being able to score anything. So even more than in other matchups you need to focus on rushing stuff out (which, if you succeed at, conveniently frees up jacksons for mill defense).
The "early game" phase is actually split into two phases - in the first few turns, if I have an agenda (non-NAPD), I like to leave some centrals open (often both hq and archives) while I go broke rezzing a hive/caduceus/etc and scoring something. This has to be before the runner can assemble datasucker + parasite. In the later turns, but still in the early game, I shift focus to icing all 3 centrals to try to shut off datasucker tokens. If he has double datasucker this is even more important -- you're fine if he's killing a caduceus or datapike every other turn, but not if your tollbooths and hadrians start dying.
Late game is all about counting how many d4v1d counters the runner can have in a single turn. Ash helps a lot with this (doubling how many he needs to get in) and I often save an interns to make sure I have him. Noise's pawnshop economy is extremely swingy, so sometimes you can make scoring windows by pressuring his money (TB, ash, and NAPD are great at this even if he has lots of d4v1d counters); other times he is rich but only has 1 d4v1d, in which case curtain wall can finally shine (assisted by ash). I almost never use curtain wall in the midgame but try to keep one in hq for this situation late. Finally, if you got relatively lucky on milling/jackson, he's not on match point, and you can use an NAPD contract as bait to create a scoring window.
Also, some miscellaneous tactics:
- Protect oversighted curtain walls from d4v1d by putting datapike or lotus in front of them, almost as if the curtain wall itself is an agenda.
- Don't click to draw extra cards early game. I often regret this when it gets to the endgame and I have 5 left in rnd and can't create the last scoring window in time.
- Ice up archives before it's necessary, preferably with a pike or lotus (not a caduceus), and wait until he mills an agenda to rez. This lets you keep jackson safe in HQ, and/or lets you shuffle 2 agendas back with him instead of prematurely using for just 1. (Shuffling back oversights is much less relevant than vs shaper or crim.)
- Advance ice wall to 2 strength to play around grimoire+parasite.