When Elite Fitness had a search engine for powerlifting gyms, Iron Island came up as having all the westside staples (bands, chains, reverse hypers, GHR) so I wouldn't be surprised if they had strongman stuff as well.
This is probably the STEEL place that AMIRisSQUAT mentioned but I don?t remember the name so it may be different. There is a small relatively hidden gym in stony brook; it had a tire, dragging chains, a steel log, thick bars, things for farmer?s walks. I think the clientele is mostly high school football player not to many strongman, but it is only $30 a month. I only took a look around the place for a few minutes, I saw a guy flipping a tractor tire across a parking lot (kind of hard to miss) while driving in the area and had to see what was up.
As far as the Long Island T-Cell, I live in Hicksville myself (along with a couple of other T-men I know) and stay out at Stony Brook when school is in session.