I don't see why not - as long as it has been properly maintained, water and oil checked at every fuel stop, etc.
If everything is operating correctly (cooling system, oil system) it should run indefinately
It's been my experience (not Model A) that engines suffer more wear from 'warming up and cooling down' frictions than (I.E. short trips)
You may have more trouble with the actual drivers - in terms of "ill effects"
