I feel like maybe a Stealth Kit deck solves some of the 'problems' people have highlighted here... Paintbrush becomes in faction, as does a whole bunch of program tutoring, letting you find Paintbrush and Surfer (single copy as you're down to 10 inf). With a refractor and a little stealth support facechecking on the first run each turn becomes no threat at all as the ice just becomes code gate. With a Lady and some recursion of her you can break the one-off barrier you need to break each turn pretty readily
I guess the ice is either: broken for peanuts with refractor; surfed down to the server with surfer; or... I dunno about sentries. You can paint these?
Basically, you're making it a big pain for the corp to build servers as to stop you pulling shenanigans there needs to be a code gate/sentry on the outside, followed by another sentry. And even then, with enough time, you can paint that ice.
And of course all of that can be stacked on top of a run event. Indexing, Maker's Eye, Account Siphon; hell, maybe this is the deck for Escher. Whatever you can squeeze in there after you've got all the moving parts set up.
EDIT: Plus, even if they do fiddle around and build a server that can keep you out once... You just surf the ice they've set up around after using paintbrush! Great, now that code gate/sentry that was on the outside is a barrier, I've surfed it in, stolen an agenda, and the blocking sentry got moved up and will become a code gate when I run next turn!