David,
First check the serpentine belt, belt idler pulleys, and belt tensioner because a slipping belt can cause the same problem. If the belt system checks OK, check all of the connections at the alternator. If the connections all check OK, make sure that the batteries are fully charged, then check the output voltage of the alternator with a good volt meter (not your dash gauge). If the output voltage of your alternator is still what you stated in your post, replace your alternator.
Remember to never start your coach and drive off with discharged house batteries because this will burn-up your alternator. However if you have discharged house batteries, start your generator and charge your house batteries with the inverter until they are about 75% recharged (30 minutes to an hour, depending on charge level) before or during your drive.
Gerald