It sounds like what you want to do is board-level (or interface-level) GPIB programming. The appropriate resource class in LabVIEW is GPIB BoardInterface and the resource string is "GPIB::INTFC".
The VI's you want to use are VISA GPIB Send IFC and VISA GPIB Control REN and VISA GPIB Command. For the last one, you just wire the low-level GPIB command string (aka multiline interface message) that includes command bytes for things like LLO and GTL. Note that these are 488.1 level calls. The 488.2 level calls are not supported in VISA since they are easily reproduced on top of the 488.1 calls.
Dan Mondrik
Senior Software Engineer, NI-VISA
National Instruments