Are you talking about using a timer or remote? In reality no settings are required for "using a tripod", though you may want to turn any VR on your lenses off.
That's strange, because I've had 6 different Nikon and none of them seem to have anything like that. Interesting that it was there on the D300, and more interesting that it was abandoned.
Just curious why would you turn VR off when using a remote?
If using a remote it would be safe to say the the camera is in a stable position. If VR is on but the camera is not moving, then the VR can actually create blur as it is trying to compensate for a movement that isn't there. So the VR is counteracting no movement....and in fact is creating movement.
VR is best left to slower handheld shots. So if using tripod, sand bag, whatever make sure to turn it off.
I've used Live View on all my cameras - I've just not seen any kind of "Tripod Mode" function that goes with it. Perhaps they decided that it was superfluous given the way LV is used typically? There are tripod related functions (like virtual horizon) that I use all the time with a tripod, and the ability to focus anywhere on the sensor is available regardless, so I suppose they simply put it in "tripod mode" whenever it's turned on - or some derivation of it.