Sand eel patterns are often the go to for stripers in the northeast, but as thevietfisher mentioned, clousers also work well too. I'd also bring along a few deceivers and some poppers too. I rarely fished anything that didn't have chartruese, and when I did, success was limited - unless there were very particular circumstances like breaking fish or a worm hatch. Check the moon phases and see if there will be a worm hatch predicted for the time you're there. You'll want to hit a local fly shop for the worm patterns if so.
As far as rod size, I'd typically try to stick to a 9 or 10 weight if you're going to be targeting the stripers. A 7 or 8 weight will do if that's all you have, particularly since the areas you'll be targeting will likely have smaller (20-30") fish, but that can still be a chore slinging those flies in the wind. If you can only do one line, I'd do an intermediate. I threw a floating line a decent amount too - careful line management avoids many of the issues with surf, plus it sounds like you'll be in the much more protected areas where waves will be next to nothing. I also almost never used full sinking lines, but that was just my preference and the conditions in which I'd fly fish. It sounds like you'll be in shallower areas too, so you can probably get by just fine if you don't already have a sinking line.