Sentry breakers tend to be the most inefficient, that's probably your best bet, but sentries are also more porous and lower strength. Barriers suffer from corroder and code gates suffer from gordian blade.
I like the idea, but I'm not sure that you end up with a more efficient deck than one that runs multiple types of ICE. Even running the most threatening, efficient ICE you still run into the problem that all ICE has at the moment. Jesse Marshall covers this in an absolutely excellent article here.
Another issue with this sentry deck is that it opens itself up to Parasite spam, as well as datasucker (which you've already noted). To protect yourself sufficiently in the early game from datasucker, you'd need to run more than 18 pieces of ICE I'd think, as well as substantial econ to allow you to rez it all.
Additionally, the threat of Architect *which you should probably run actually, seems pretty good here) means that most runners won't face-check ICE until they have a way of breaking sentries. Mimic is the most popular method at the moment and your early ICE is quite porous to it. Archer, Data Raven, Flare, Nebula, Chimera and Mother Goddess are the only ICE you have that can't be instantly broken by Mimic, and of those only three end the run, and one of those requires you to have scored an agenda.
The bad-pub is weird too. I count 7 (two from Geothermal) ways for you to give the runner bad-pub
and no way to remove it. You could switch over to Blue-Sun (which helps with the econ) and include Elizabeth Mills to help with that (play her, rez her, bounce her using Blue-Sun). Or, and I know this goes against the all sentries idea, but it's fucking hilarious, you could run Ireress.
Finally on your agendas, I think you want to swap three Oaktown Renovations for the Corporate Wars. Oaktown is phenomenal and actually puts you in a stronger position after IAA! Not to mention because your ICE is so threatening you may want to tempt the runner into going for it, and nothing does that like a face-up agenda.