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The Herald might work if the kids are small - I had a convertible about 15 years ago, the only two good things I can say about it are that it has a great turning circle and I sold it for a profit. It accelerated like a Morris Minor, but the brakes were worse (I had them at the same time and we used to "race" them against one another /ubbthreads/images/graemlins/eek.gif). The guy on this forum from LI that has one as his avatar has my greatest respect if it's not a Vitesse and he ever ventures out on the LIE in it. Of course it's only a 2 door so it violates the first requirement...
[/ QUOTE ]Hmmm, sounds like me. Yes, I do have a Herald generally capable of daily driving (albeit down for a clutch replacement at the moment). But if you're referring to my "East Nassau" address, that's in upstate New York near Albany, not on the island.
I've been on the LIE and prefer to avoid it in ANY vehicle.

But my Herald, totally stock down to front drum brakes, can capably and comfortably cruise the Interstates @60-65mph, and has done so on any number of occasions, including my 2550-mile round trip to Minnesota; pretty much all of that trip was on the Interstate highway system.
Like any other British saloon of that size class, it is a bit limited in rear seat passenger room, although my sedan is much better there than are Herald convertibles. But it's still a two-door, so....