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Head gaskets are almost certainly coated steel laminates, effectively incompressible so no need to re-torque.
And while we're here - do the III's also have double walled headers? It was not uncommon for the V7 Classic to break the spot weld fixing the inner pipe to the outer - and produce a rattle. One of stock mufflers dropped a baffle while under warranty - similar sort of rattle (& it was replaced).
The definitive advice - an hour's trip is a slight on the V7 - my early morning "constitutional" is an hour & a half each way & is pretty much a doddle.
Also check the torque on your exhaust. A loose header can make a rattly sound much like a valve tick. Further down the exhaust the muffler clamps can loosen. Mine were making some noise and needed tightening at 300 mi.
One hitch. I'd think the valves would have to be set cold--without a fan, it'd take some hours for the engine to cool down enough to set the valves.Rich
Correct - cold valves and warm fluids. I did the valves and took it for a short ride before changing the oils.