I think the real opportunity Tesla has here is to get rid of the classical truck outline. Take a truck with an 8' bed and a crew cab. It's ridiculously long.
Now, move the front wheel back several feet and chop off the whole engine compartment area to make it something like a cabover (but less tall). Now you have a truck that can actually maneuver, haul a whole load of workers to a site, and still have a bed big enough plywood/sheetrock.
Sadly, I think we'll end up with something more like this because suburban truck commuters want a status symbol: