You will need to override the %%updateSelf rule (copy the entire rule into the Modifier design) of your drawing dimension design (IvLinearDimensionModifier would be needed for the IvLinearDimension design for example). Once you do that you will need to add the following bit of code to the end of that rule before the handle is returned.
Dim dimensionObject As Any = Autodesk.Intent.InventorUtils.ThisApplication.GetObjectFromHandler(handle)
dimensionObject.HideValue = True
Of course if you don't always want to hide the value replace True with a rule you add to IvLinearDimensionModifier (or whatever dimension type you're adding this to)
--Farren
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