I’m guessing you’re playing @bblum’s list. Have you played against the NEXT Design version?
The only game against ITD was the NEXT version and I played String Theory. He got it out turn one and already had 2 ice defending it. I used Test Run Femme and got in thinking it was an agenda, but I was 2 credits short from trashing it. Next turn he puts 3 counters on it and leaves his centrals loosely defended. I get a 3-pointer on a lucky pull from R&D or HQ (this version only has 7 agendas).
The rest of the game I got locked out because he set up most of his server with dangerous ice (Roto, Grim, Fenris, Architect) followed by an ETR ice. I was completely locked out with String Theory from getting the ITD (I think the server was Roto followed by NEXT Silver), but I was able to access some of the other servers with some tricks and got another 3-pointer. But even with 50+ credits and access to any card in my deck (via 2x Levy) over the course of the game, I knew that I would not be able to win unless the Corp makes some mistake. After 40+ minutes, he eventually one 9 to 6. It was only a bit fun because it was the first time I played against it and I was curious if there was anything I could do to beat it. In the end, he might have gotten a great draw against me (although my deck was a favorable match-up anyway), sometimes there’s nothing you can do against GRNDL if they get all their pieces to blow up your apartment in the first few turns and you don’t get your Plascrete.
The one weakness I saw with the NEXT version is that economy was lacking, but he did manage pretty well because he ran Successful Demonstrations and Hedge Funds and, IIRC, Beanstalk. Also, he mitigated the low econ with cheap ETR ice including Paper Wall and the fact that ITD doesn’t cost anything to use after it’s rezzed.
The questions now is what tools can you use to defeat ITD? I can only think of Parasite (not if they use Lotus Field, but not cutlery since they can boost to keep you from breaking it) and/or D4V1D recursion, Femme/IJ (unless they use Guard as @Nordrunner mentioned and it’s limited to one ice per bypass effect), Noise/DLR and Hades Shard (but the NEXT version at least uses Eden Fragment, so a complete mill strategy doesn’t work unless the runner packs Eden Shard). Most of the best tools seem to be Anarch. I’m not sure if Shaper has any directly useful tool unless you count tutor/recurring the other faction’s tools.
On the plus side, it does seem like an ITD deck has a high skill cap: to know which ice to use at which point to defend it. I think after some refinement it’ll be a very strong (if not tier 1) deck that will require good piloting to win.
The big problem with it that may make it bad for the game is that in the right hands the runner basically loses the game unless they can somehow trash it before it gets rezzed and get to 4+ counters unless they run Parasite and/or D4V1D recursion. SanSan can usually be trashed a few turns later (if the runner is lucky and the Corp doesn’t have enough agendas to win out) and/or can concentrate on R&D lock and HQ multi-access to deny agendas before they get to the SanSan. RP with Nisei MK II and Caprice is also very strong, but it’s limited to only one use (and at least there is a terrible hard counter to Caprice on a non-HQ server).